How do you solve #4\leq 3- 2x < 15#?

1 Answer
Jun 22, 2017

Answer:

See below.

Explanation:

We take the left part of the inequality first.

#4\leq3-2x#

#1\leq-2x#

#2x\leq-1#

#x\leq-1/2#

Now for the right part:

#3−2x<15#

#-2x<12#

#x> -6#

But #x\leq-1/2#, so the range of values #x# can take is #(-6,-1/2]#.