how do you solve -4<2x-3<4
-4 < 2X-3 < 4.
This is a compound inequality which
states that 2X-3 is greater than -4 and
less than 4.
Add 3 to each side and the center:
-4 + 3 < 2x-3+3 < 4 + 3,
-1 < 2X < 7,
Divide both sides and the center by 2:
-1/2 < X < 7/2.
Any value of x between -1/2 and 7/2
will satisfy the given inequality.