Solving Absolute Value Inequalities Live

Solve the inequality. Select the graph that represents the solutions of the inequality.

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Solve the inequality.

• b ≥ 5/6 AND b ≤ 11/6

• b ≤ 5/6 AND b ≥11/6

• all real solutions

• no real solution

What are the steps to isolate the absolute value?

• Subtract 13 to both sides

  Divide by 2 to both sides

• Add 13 to both sides

  Multiply by 2 to both sides

• Add 13 to both sides

  Divide by 2 to both sides

• Subtract 13 to both sides

  Divide by 1/2 to both sides

|x+2| > 3

Please answer in interval notation

• (-Infinity,1)

• (-5,-1)

• (-4,4)

• (-infinity, -5)(1, infinity)

Describe the first step in solving the absolute value inequality

• Add 5 on both sides

• Divide both sides by -5

• Set up two inequalities

• no solution

| -8x | < 8

What is the correct first step?

• separate into two inequalities with an "and"

• separate into two inequalities with an "or"

• divide both sides by -8

Solve:  |2x + 1| ≤ 19

• x ≥ 9 or x ≤ -10

• -10 ≤ x ≤ 9

• x ≥ 10 or x ≤ -9

• -9 ≤ x ≤ 10

Solve the following inequality:

|3x + 6| ≥ 15

• x ≥ 3 or x ≤ −3

• x ≤ 7 and x ≤ −3

• x ≥ 7 and x ≤ −7

• x ≤ −7 or x ≥ 3

What is the first step?  (a)  

• Get absolute value alone by subtracting 5 from both sides

• Get absolute value alone by dividing by 5 on both

• Split into two equations

What is the first step in solving

|5x + 7| < 22

• Subtract 7 on both sides

• Divide 5 on both sides

• Set up two inequalities

• Set up one inequality