What is the solution to |4x-1|<=3?

2 Answers
Nov 6, 2016

x<=1

Explanation:

You have to rearrange it but keep the <=

4x<=4 (taking the -1 over)

x<=4/4

x<=1

Nov 6, 2016

-1/2<=x<=1

Explanation:

Solve abs(4x-1)<=3

There are two parts to this answer.

color(red)(4x-1<=3) and color(blue)(4x-1>=-3)

color(red)(4x<=4)

color(red)(x<=1)


color(blue)(4x-1>=-3)

color(blue)(4x>=-2)

color(blue)(x>=-2/4)

color(blue)(x>=-1/2)

color(purple)(-1/2<=x<=1)

Reference: http://www.regentsprep.org/Regents/math/algtrig/ATE2/absinequal.htm