# 7-3 Solving Multi-Step Inequalities

Warm ups solve and graph 1. 2. 3. 4. 5. 6. a + 4 > 16 1. a > 12 15 < x 3 2. x > 18

.5 3. p > -28 p 20 7 4. v > 12 -9v < -108 5. x < -16 208 < -13x The sum of x and 3 is at least 7. 7-3 Solving Multi-Step Inequalities Objective: To solve inequalities

involving more than one operation 2 Times you flip the inequality 1. 2. Move variable to the left Multiply or divide by a negative number Example 1- watch 2 work with me Solve the inequalities the SAME WAY you solved equations.

5(n 2) 4(n 6) 5(k 4) 2( k 6) 5( k 1) 1 Example 3 (3) x < 2x 15 (3) 3 3x < 2x 15 -2x -2x x < -15

TOO 1. -3 > -3t + 6 2. 26p 20 > 14p + 64 3. . t 3 8

2 1. t > 3 2. p > 7 3. t < -19 Special Case #1 3x + 4 > 2(x + 3) + x 3x + 4 > 2x + 6 + x 3x + 4 > 3x + 6 -3x

-3x 4>6 Distribute Combine like terms Get variable on same side True or false? This state is FALSE: No Solution Special Case #2

3 3(y 2) < 13 3(y 6) 3 3y + 6 < 13 3y + 18 -3y + 9 < -3y + 31 +3y + 3y 9 < 31 Distribute Combine like terms Get variable on same side True or false?

This state is TRUE: All Numbers Define a variable, write an inequality, and solve. The sum of two consecutive even integers is greater than seventy-five. Name 2 consecutive even integers that meet the requirement. Answer: 38, 40 40, 42

42, 44 Homework Pg. 402 #17-41 ODD Quiz Tomorrow! GAME TIME! Snake

Whiteboard, sock, marker. Pack up everything Sit quietly. Solve each inequality. 3 3t 6 t 3 2 w 3 7

3 w 15 8n 2 10n 20 n9 Solve each inequality. m 15 5 4m 8 2m 17 2 x 15

x 3 x 15 6 p 2 4 p 12 p 7 Solve each inequality. 3( x 2) 8 x 44

x 10 5(k 4) 3(k 4) k 1

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