Answer:
c) x > -3 or x ≤ 2
Step-by-step explanation:
We are asked to solve this algebraic expression
-9 < 4x+3 ≤ 11.
We have two parts:
a) -9 < 4x+3
b) 4x+3 ≤ 11
For
a) -9 < 4x+3
Subtract 3 from both sides
-9 - 3 < 4x + 3 -3
-12 < 4x
-12/4 < x
-3 < x
x > -3
b) 4x+3 ≤ 11
Subtract 3 from both sides
4x + 3 -3 ≤ 11 - 3
4x ≤ 8
x ≤ 8/4
x ≤ 2
Hence, our answer is
x > -3 or x ≤ 2
