Question

Which inequality describes all of the solutions to 3x - 1 + 2 < 7?

A. x < 8/3
B. x < 2
C. x > 8/3
D. x > 2

Answer 1

Our answer is x < 2.

`\Large\texttt{Explanation}`

We are asked to solve the following inequality -

3x - 1 + 2 < 7

3x < 7 - 2 + 1

3x < 5 + 1

3x < 6

Divide both sides by 3

x < 2

`\therefore` x < 2

Answer 2

B

Explanation:

given the inequality

3x - 1 + 2 < 7 , that is

3x + 1 < 7 ( subtract 1 from both sides )

3x < 6 ( divide both sides by 3 )

x < 2