Solve inequality -5 (less than or = too sign) -2x+3 (less than sign) 15?

Question

Solve inequality.

Answer 1

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Or you can solve them altogether

-5 <= -2x+3 < 15

Subtract all sides by 3
-8 <= -2x < 12

Divide all sides by -2, change direction of inequality
4 >= x > -6
or
-6 < x <= 4

Answer 2

-5 <= -2x+3 < 15

Solve these separately

-5 <= -2x+3
-8 <= -2x
x <= 4

-2x+3 < 15

-2x < 12
x > -6