Fill in the blank with <, >, or = to make each statement true. 1 finger if < 2 fingers if > 3 fingers if = 2  3

5  4 1 finger if < 2 fingers if > 3 fingers if =

3  -5 1 finger if < 2 fingers if > 3 fingers if =

1 finger if < 2 fingers if > 3 fingers if = -2  -5 -6

-7  -4 1 finger if < 2 fingers if > 3 fingers if =

 1 finger if < 2 fingers if > 3 fingers if =

Thumb down if not a solution x < 3 Is 2 a solution? Thumb up if yes Thumb down if not a solution

Thumb down if not a solution x < 3 Is 3 a solution? Thumb up if yes Thumb down if not a solution

Graph the solution of x < 3 2.999 -2 -6 -4 6 4 2 -2 -6 -4 6 4 2

Graph the solution of x + 3 = 7 -2 -6 -4 6 4 2

Graph the solution of x  -2 -6 -4 6 4 2

Graph the solution of x  |-2| -6 -4 6 4 2

Inequalities  “less than or equal to”  “less than”  “greater than”  “greater than or equal to”

QQ. Write the equation for each graph 1 2 3 4 5 -2 -6 -4 6 4 2 -2 -6 -4 6 4 2 -2 -6 -4 6 4 2 -2 -6 -4 6 4 2 -2 -6 -4 6 4 2

Inequalities vs. Equations Solutions Inequality Equation x + 5  9 x + 5 = 9 x = 4 x = 4 x = 5 x = 6 x  4

Addition Property of Inequalities 13 < 25 +2 +2

Addition Property of Inequalities 13 < 25 +100 +100

Addition Property of Inequalities 13 < 25 -13 -13

Addition Property of Inequalities If a < b, then a + c < b + c “If I add the same number to both sides of an inequality, I get another TRUE inequality in the same direction.” The same is true for >,  , and 

Solve for “x”and graph: 5x + 2  4x + 7 -4 -8 8 4

Solve for “x”and graph: -2(x - 7) > 2x - 6 Check with ZERO -4 -8 8 4

Solve for “y”, then graph the solution. -2 -6 -4 6 4 2

Solve for “y”, then graph the solution. -3 -3 y  -4 -2 -6 -4 6 4 2

3 < 5 (-3) (-3) -9 < -15 ??? -9 > -15

Multiplication Property of Inequalities For all rational numbers a, b, and c: When c is positive, if a > b, then a • c > b • c When c is negative, if a > b, then a • c < b • c If you multiply or divide an inequality by a negative number, reverse the inequality sign in the answer.

If you multiply or divide an inequality by a negative number, reverse the inequality sign in the answer.

Solve for “y”, then graph the solution. -3 -3 y  -4  -2 -6 -4 6 4 2

Solve for “y”, then graph the solution. -2 -6 -4 6 4 2

QQ: Solve for x. Graph # 4 3x  18 14x  -7 -8x > 32 -5x < 30 A,C,E,G B,D,F 1 3x  18 14x  -7 2 -8x > 32 -5x < 30 3 9x  -3 7x > 49 4 -6x < -36 -4x  -24

2-Step Inequalities 6 + 5y > 21 -6 + 6 + 5y > -6 + 21 5y > 15

7x + 4  4x + 16 x  4 -2 -6 -4 6 4 2

13a + 5  12a + 4 -2 -6 -4 6 4 2

4m – 4 > 8 + 2m -2 -6 -4 6 4 2

-6x + 7 – x + 1 < 2x + 4 -7x + 8 < 2x + 4 +7x - 4 - 4 + -2 -6 -4 6 4 2

Assignment Page 184 # 1-31 odd, 32-48 even