SECTION 6-5 : LINEAR INEQUALITIES

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SECTION 6-5 : LINEAR INEQUALITIES ALGEBRA I @ SECTION 6-5 : LINEAR INEQUALITIES

Determine whether the ordered pair is a solution of the linear inequality. 1) y > 3x – 5 (-4, -13) Answer : yes, -13 > -17 2) y < -x + 7 (9, -1) Answer : no, -1 is not less than or equal to -2

ALGEBRA I - SECTION 6-5 (Linear Inequalities) Graph each inequality. 3) y < x - 2 First, graph the line y = x – 2. Do the points on the line make the inequality true? If so, draw a solid line to show those points satisfy the inequality. If not, draw a dotted line. Inequalities involve shading. In what direction do we shade this graph? How can we do this?

4) 3x – y < -1 Remember, when you multiply or divide an inequality by a negative number, switch the direction of the inequality. < >

5) y > 4

6) x < -3

ALGEBRA I - SECTION 6-5 (Linear Inequalities) 7) 5x – 3y < 15