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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