Question

Solve -9 <4x+3 11.

O A. x>-3 and xs 2
B. X> 3 or xs 2
O C. x>-3 or xs 2
O D. x > 3 and xs3

Answer 1

c) x > -3 or x ≤ 2

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