Answers to Equations And Inequalities Problems

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Answers to Equations And Inequalities with Absolute Value - Problems are presented.

Problem 1: Find all real solutions to the equation with absolute value.

2|-2x - 2| - 3 = 13

answer c: -5 , 3

Problem 2: Find all real solutions to the equation with absolute value.

|x - 1| = 2x + 1

answer e: 0

Problem 3: Find all real solutions to the equation with absolute value.

|2x - 1| = x²

answer a: -1 - sqrt(2) , -1 + sqrt(2) , 1

Problem 4: Find all real solutions to the equation with absolute value.

-2|x + 1| -2 = 4

answer b: no solutions

Problem 5: Find all real solutions to the equation with absolute value.

|x - 1| = |x² -2x + 1|

answer d: 0 , 1 , 2

Problem 6: Solve the inequality with absolute value..

|x - 1| >= 2

c: (-infinity , -1] U [3 , +infinity)

Problem 7: Solve the inequality with absolute value..

-3|-2x + 4| <= 4

answer e: (-infinity , +infinity)

Problem 8: Solve the inequality with absolute value..

|3x + 1| <= 2x + 3

answer a: [-4/5 , 2]

Problem 9: Solve the inequality with absolute value.

|x² + x - 2| < x + 3

answer c: (-sqrt(5), -1) U (-1 , sqrt(5))

Problem 10: Solve the inequality with absolute values.

|x + 1| < |x² + 2x + 2|

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Updated: 2 April 2013