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Warm ups – solve and graph

Warm ups – solve and graph. a + 4 > 16 15 < x – 3 . -9v < -108 208 < -13x The sum of x and 3 is at least 7. a > 12 x > 18 p > -28 v > 12 x < -16. 7-3 Solving Multi-Step Inequalities. Objective: To solve inequalities involving more than one operation.

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Warm ups – solve and graph

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

  2. 7-3 Solving Multi-Step Inequalities Objective: To solve inequalities involving more than one operation

  3. 2 Times you flip the inequality • Move variable to the left • Multiply or divide by a negative number

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

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

  6. TOO • t > 3 • p > 7 • 3. t < -19 • -3 > -3t + 6 • 26p – 20 > 14p + 64 • .

  7. 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

  8. 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

  9. 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

  10. Homework • Pg. 402 #17-41 ODD • Quiz Tomorrow!

  11. GAME TIME! • Snake… • Whiteboard, sock, marker. • Pack up everything • Sit quietly.

  12. Solve each inequality.

  13. Solve each inequality.

  14. Solve each inequality.

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