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2.8 – Graphing Inequalities
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Steps for graphing inequalities:
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2.8 – Graphing Inequalities Steps for graphing inequalities: 1)Graph just like you would an equation:
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2.8 – Graphing Inequalities Steps for graphing inequalities: 1)Graph just like you would an equation: Table
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2.8 – Graphing Inequalities Steps for graphing inequalities: 1)Graph just like you would an equation: Table – used when eq. In slope-int. form
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2.8 – Graphing Inequalities Steps for graphing inequalities: 1)Graph just like you would an equation: Table – used when eq. In slope-int. form x and y intercepts
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2.8 – Graphing Inequalities Steps for graphing inequalities: 1)Graph just like you would an equation: Table – used when eq. In slope-int. form x and y intercepts – used when in standard form
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2.8 – Graphing Inequalities Steps for graphing inequalities: 1)Graph just like you would an equation: Table – used when eq. In slope-int. form x and y intercepts – used when in standard form 2)If ≥ or ≤, make the line solid.
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2.8 – Graphing Inequalities Steps for graphing inequalities: 1)Graph just like you would an equation: Table – used when eq. In slope-int. form x and y intercepts – used when in standard form 2)If ≥ or ≤, make the line solid. 3)If > or <, make the line dashed.
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2.8 – Graphing Inequalities Steps for graphing inequalities: 1)Graph just like you would an equation: Table – used when eq. In slope-int. form x and y intercepts – used when in standard form 2)If ≥ or ≤, make the line solid. 3)If > or <, make the line dashed. 4)Plug the origin (0,0) into the inequality.
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2.8 – Graphing Inequalities Steps for graphing inequalities: 1)Graph just like you would an equation: Table – used when eq. In slope-int. form x and y intercepts – used when in standard form 2)If ≥ or ≤, make the line solid. 3)If > or <, make the line dashed. 4)Plug the origin (0,0) into the inequality. Plug 0 in for x and plug 0 in for y!
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2.8 – Graphing Inequalities Steps for graphing inequalities: 1)Graph just like you would an equation: Table – used when eq. In slope-int. form x and y intercepts – used when in standard form 2)If ≥ or ≤, make the line solid. 3)If > or <, make the line dashed. 4)Plug the origin (0,0) into the inequality. Plug 0 in for x and plug 0 in for y!
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2.8 – Graphing Inequalities Steps for graphing inequalities: 1)Graph just like you would an equation: Table – used when eq. In slope-int. form x and y intercepts – used when in standard form 2)If ≥ or ≤, make the line solid. 3)If > or <, make the line dashed. 4)Plug the origin (0,0) into the inequality. Plug 0 in for x and plug 0 in for y! If true, shade side of line with the origin.
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2.8 – Graphing Inequalities Steps for graphing inequalities: 1)Graph just like you would an equation: Table – used when eq. In slope-int. form x and y intercepts – used when in standard form 2)If ≥ or ≤, make the line solid. 3)If > or <, make the line dashed. 4)Plug the origin (0,0) into the inequality. Plug 0 in for x and plug 0 in for y! If true, shade side of line with the origin.
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2.8 – Graphing Inequalities Steps for graphing inequalities: 1)Graph just like you would an equation: Table – used when eq. In slope-int. form x and y intercepts – used when in standard form 2)If ≥ or ≤, make the line solid. 3)If > or <, make the line dashed. 4)Plug the origin (0,0) into the inequality. Plug 0 in for x and plug 0 in for y! If true, shade side of line with the origin. If false, shade side of line w/o the origin.
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2.8 – Graphing Inequalities Steps for graphing inequalities: 1)Graph just like you would an equation: Table – used when eq. In slope-int. form x and y intercepts – used when in standard form 2)If ≥ or ≤, make the line solid. 3)If > or <, make the line dashed. 4)Plug the origin (0,0) into the inequality. Plug 0 in for x and plug 0 in for y! If true, shade side of line with the origin. If false, shade side of line w/o the origin.
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Ex. 1 Graph 2x + 3y > 6
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1)Graph just like the equation:
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Ex. 1 Graph 2x + 3y > 6 1)Graph just like the equation: So, graph 2x + 3y = 6
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Ex. 1 Graph 2x + 3y > 6 1)Graph just like the equation: So, graph 2x + 3y = 6 x-int:
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Ex. 1 Graph 2x + 3y > 6 1)Graph just like the equation: So, graph 2x + 3y = 6 x-int: 2x + 3(0) = 6 2x = 6 x = 3 (3,0)
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Ex. 1 Graph 2x + 3y > 6 1)Graph just like the equation: So, graph 2x + 3y = 6 x-int: 2x + 3(0) = 6 2x = 6 x = 3 (3,0) y-int:
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Ex. 1 Graph 2x + 3y > 6 1)Graph just like the equation: So, graph 2x + 3y = 6 x-int: 2x + 3(0) = 6 2x = 6 x = 3 (3,0) y-int: 2(0) + 3y = 6 3y = 6 y = 2 (0,2)
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Ex. 1 Graph 2x + 3y > 6 1)Graph just like the equation: So, graph 2x + 3y = 6 x-int: 2x + 3(0) = 6 2x = 6 x = 3 (3,0) y-int: 2(0) + 3y = 6 3y = 6 y = 2 (0,2)
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Ex. 1 Graph 2x + 3y > 6 1)Graph just like the equation: So, graph 2x + 3y = 6 x-int: 2x + 3(0) = 6 2x = 6 x = 3 (3,0) y-int: 2(0) + 3y = 6 3y = 6 y = 2 (0,2)
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Ex. 1 Graph 2x + 3y > 6 1)Graph just like the equation: So, graph 2x + 3y = 6 x-int: 2x + 3(0) = 6 2x = 6 x = 3 (3,0) y-int: 2(0) + 3y = 6 3y = 6 y = 2 (0,2) 2)If ≥ or ≤, make the line solid.
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Ex. 1 Graph 2x + 3y > 6 1)Graph just like the equation: So, graph 2x + 3y = 6 x-int: 2x + 3(0) = 6 2x = 6 x = 3 (3,0) y-int: 2(0) + 3y = 6 3y = 6 y = 2 (0,2) 2)If ≥ or ≤, make the line solid. 3)If > or <, make the line dashed.
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Ex. 1 Graph 2x + 3y > 6 1)Graph just like the equation: So, graph 2x + 3y = 6 x-int: 2x + 3(0) = 6 2x = 6 x = 3 (3,0) y-int: 2(0) + 3y = 6 3y = 6 y = 2 (0,2) 2)If ≥ or ≤, make the line solid. 3)If > or <, make the line dashed.
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Ex. 1 Graph 2x + 3y > 6 1)Graph just like the equation: So, graph 2x + 3y = 6 x-int: 2x + 3(0) = 6 2x = 6 x = 3 (3,0) y-int: 2(0) + 3y = 6 3y = 6 y = 2 (0,2) 2)If ≥ or ≤, make the line solid. 3)If > or <, make the line dashed.
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Ex. 1 Graph 2x + 3y > 6 1)Graph just like the equation: So, graph 2x + 3y = 6 x-int: 2x + 3(0) = 6 2x = 6 x = 3 (3,0) y-int: 2(0) + 3y = 6 3y = 6 y = 2 (0,2) 2)If ≥ or ≤, make the line solid. 3)If > or <, make the line dashed. 4)Plug the origin (0,0) into the inequality.
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Ex. 1 Graph 2x + 3y > 6 1)Graph just like the equation: So, graph 2x + 3y = 6 x-int: 2x + 3(0) = 6 2x = 6 x = 3 (3,0) y-int: 2(0) + 3y = 6 3y = 6 y = 2 (0,2) 2)If ≥ or ≤, make the line solid. 3)If > or <, make the line dashed. 4)Plug the origin (0,0) into the inequality. Plug 0 in for x and plug 0 in for y!
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Ex. 1 Graph 2x + 3y > 6 1)Graph just like the equation: So, graph 2x + 3y = 6 x-int: 2x + 3(0) = 6 2x = 6 x = 3 (3,0) y-int: 2(0) + 3y = 6 3y = 6 y = 2 (0,2) 2)If ≥ or ≤, make the line solid. 3)If > or <, make the line dashed. 4)Plug the origin (0,0) into the inequality. Plug 0 in for x and plug 0 in for y! 2(0) + 3(0) > 6
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Ex. 1 Graph 2x + 3y > 6 1)Graph just like the equation: So, graph 2x + 3y = 6 x-int: 2x + 3(0) = 6 2x = 6 x = 3 (3,0) y-int: 2(0) + 3y = 6 3y = 6 y = 2 (0,2) 2)If ≥ or ≤, make the line solid. 3)If > or <, make the line dashed. 4)Plug the origin (0,0) into the inequality. Plug 0 in for x and plug 0 in for y! 2(0) + 3(0) > 6 0 > 6
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Ex. 1 Graph 2x + 3y > 6 1)Graph just like the equation: So, graph 2x + 3y = 6 x-int: 2x + 3(0) = 6 2x = 6 x = 3 (3,0) y-int: 2(0) + 3y = 6 3y = 6 y = 2 (0,2) 2)If ≥ or ≤, make the line solid. 3)If > or <, make the line dashed. 4)Plug the origin (0,0) into the inequality. Plug 0 in for x and plug 0 in for y! 2(0) + 3(0) > 6 0 > 6 If true, shade side of line with the origin.
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Ex. 1 Graph 2x + 3y > 6 1)Graph just like the equation: So, graph 2x + 3y = 6 x-int: 2x + 3(0) = 6 2x = 6 x = 3 (3,0) y-int: 2(0) + 3y = 6 3y = 6 y = 2 (0,2) 2)If ≥ or ≤, make the line solid. 3)If > or <, make the line dashed. 4)Plug the origin (0,0) into the inequality. Plug 0 in for x and plug 0 in for y! 2(0) + 3(0) > 6 0 > 6 If true, shade side of line with the origin. If false, shade side of line w/o the origin.
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Ex. 1 Graph 2x + 3y > 6 1)Graph just like the equation: So, graph 2x + 3y = 6 x-int: 2x + 3(0) = 6 2x = 6 x = 3 (3,0) y-int: 2(0) + 3y = 6 3y = 6 y = 2 (0,2) 2)If ≥ or ≤, make the line solid. 3)If > or <, make the line dashed. 4)Plug the origin (0,0) into the inequality. Plug 0 in for x and plug 0 in for y! 2(0) + 3(0) > 6 0 > 6 If true, shade side of line with the origin. If false, shade side of line w/o the origin.
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Ex. 2 Graph y ≤ x + 1
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1)Graph y = x + 1
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Ex. 2 Graph y ≤ x + 1 1)Graph y = x + 1 xx + 1y(x,y) -1 + 1-2(-1,0) 00 + 1(0,1) 11 + 10(1,2)
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Ex. 2 Graph y ≤ x + 1 1)Graph y = x + 1 xx + 1y(x,y) -1 + 1-2(-1,0) 00 + 1(0,1) 11 + 10(1,2)
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Ex. 2 Graph y ≤ x + 1 1)Graph y = x + 1 2)y ≤ x + 1, so use solid line! xx + 1y(x,y) -1 + 1-2(-1,0) 00 + 1(0,1) 11 + 10(1,2)
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Ex. 2 Graph y ≤ x + 1 1)Graph y = x + 1 2)y ≤ x + 1, so use solid line! xx + 1y(x,y) -1 + 1-2(-1,0) 00 + 1(0,1) 11 + 10(1,2)
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Ex. 2 Graph y ≤ x + 1 1)Graph y = x + 1 2)y ≤ x + 1, so use solid line! 3)Plug in the origin: 0 ≤ 0 + 1 0 ≤ 1, TRUE! xx + 1y(x,y) -1 + 1-2(-1,0) 00 + 1(0,1) 11 + 10(1,2)
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Ex. 2 Graph y ≤ x + 1 1)Graph y = x + 1 2)y ≤ x + 1, so use solid line! 3)Plug in the origin: 0 ≤ 0 + 1 0 ≤ 1, TRUE! xx + 1y(x,y) -1 + 1-2(-1,0) 00 + 1(0,1) 11 + 10(1,2)
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