Warm ups – solve and graph 1. a + 4 > 16 2. 15 < x – 3 3.. 4. -9v < -108 5. 208 < -13x 6. The sum of x and 3 is at least 7. 1.a > 12 2.x > 18 3.p > -28.

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Presentation transcript:

Warm ups – solve and graph 1. a + 4 > < x – v < < -13x 6. The sum of x and 3 is at least 7. 1.a > 12 2.x > 18 3.p > v > 12 5.x < -16

7-3 Solving Multi-Step Inequalities Objective: To solve inequalities involving more than one operation

2 Times you flip the inequality 1. Move variable to the left 2. Multiply or divide by a negative number

Example 1- watch 2 – work with me Solve the inequalities the SAME WAY you solved equations.

Example 3 x < 2x – x < 2x – 15 -2x -2x x < -15 (3)

TOO > -3t p – 20 > 14p t > 3 2. p > 7 3. t < -19

Special Case #1 3x + 4 > 2(x + 3) + x 3x + 4 > 2x x 3x + 4 > 3x x -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 y + 9 < -3y y + 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.