Equations And Inequalities with Absolute Value
Multiple choice questions on solving equations and inequalities with absolute value are presented. The answers to the questions below are included.
You may want to work through the tutorials on solving inequalities with absolute value and solving equations with absolute value before solving the questions below.
For each question, select the correct answer. Question 1: Find all real solutions to the equation with absolute value. a: 5 b: 3 c: 5 , 3 d: no solutions e: 0 Question 2: Find all real solutions to the equation with absolute value. a: 2 b: 2 , 0 c: 1 d: no solutions e: 0 Question 3: Find all real solutions to the equation with absolute value. a: 1  √2 , 1 + √2 , 1 b: 1 c: 1 , 1 d: 1  √2 , 1 + √2 e: no solutions Question 4: Find all real solutions to the equation with absolute value. a: 4 b: no solutions c: 4 d: all real numbers e: 0 Question 5: Find all real solutions to the equation with absolute value. a: no solutions b: 0 c: 3 d: 0 , 1 , 2 e: 2 + √2 , 2  √2 Question 6: Solve the inequality with absolute value.. a: no solutions b: [3 , +∞) c: (∞ , 1] U [3 , +∞) d: (∞ , 1] e: (∞ , +∞) Question 7: Solve the inequality with absolute value.. a: (∞ , 7/3) b: (7/3 , +∞) c: (7/3 , +7/3) d: (0 , 7/3) e: (∞ , +∞) Question 8: Solve the inequality with absolute value.. a: [4/5 , 2] b: (∞ , +∞) c: no solutions d: all real numbers e: [4/5 , +∞) Question 9: Solve the inequality with absolute value. a: (√5, √5) b: no solutions c: (√5, 1) U (1 , √5) d: (∞, 1) U (1 , +∞) e: (1 , √5) Question 10: Solve the inequality with absolute values. a: (∞ , +∞) b: (1 , +∞) c: (∞ , 1) d: no solutions e: (1 ,1)
Related references and links to absolute value functions and equations.
