Question

Solve the following inequality: 38 < 4x + 3 + 7 – 3x.

A. x < 4-
B. x < 28-
C. x > 4
D. x > 28

Answer 1

The answer would be D

Explanation and steps to solve:

1) Replace the < sign with an = sign
38 = 4x + 3 + 7 - 3x

2) Solve the algebra equation
38 = x + 3 + 7
38 = x + 10
28 = x


3) Put the < back in
28 < x

Answer 2

38<4x+3+7-3x===>Combine like terms
38<x+10====>Subtract 10 from both sides
38-10<x+10-10
28<x
The answer is D.