# Answers to Equations And Inequalities Problems

 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|