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
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