Question

Solve the inequality |1-2x| -4 > -1

. Simplify all fractions as much as possible. Express your answer as an integer or fraction, and not as a decimal. If the answer is a fraction, provide the answer as "a/b". Do not leave spaces between characters.
x< ? or x> ?

Answer 1

`x < -3\text{ or }x > 3`

Explanation:

`|1-2x|-4 > 1\\|1-2x| > 5\\\\1-2x > 5\\-2x > 6\\x < -3\\\\1-2x < -5\\-2x < -6\\x > 3`