How do you solve -18\leq 6- 4x \leq 10?

1 Answer
Jan 4, 2017

-1<=x<=6

Explanation:

you can separate with 2 inequalities.

-18 <= 6-4x and 6-4x<=10

A:
-18<=6-4x
-18-6<=-4x
-24<=-4x
due to -ve coeficient for x, interchange the location.
4x <= 24
x<=24/4
x<=6

B:
6-4x<=10
-4x<=10-6
-4x<=4
due to -ve coeficient for x, interchange the location.
-4<=4x
-4/4<=x
-1<=x

now we have
x<=6 and x>=-1

therefore the answer is
-1<=x<=6