Question

Which of the following number lines shows the solution to the compound inequality given below?

-2<3r+4<13

Answer 1

We get -2 < r < 3

Corresponding to the fourth choice

The fourth number line is the correct option

Explanation:

-2 < 3r+4 < 13

We have to isolate r,

subtracting 4 from each term,

-2-4< 3r + 4 - 4 < 13 - 4

-6 < 3r < 9

divding each term by 3,

-6/3 < r < 9/3

-2 < r < 3

so, the interval is (-2,3)

or, -2 < r < 3

this corresponds to

The fourth choice (since there is no equality sign)