Solve

Question

-16<_3x-4<2

Answer 1

To solve the inequality:

-16 < 3x - 4 < 2

First, we will add 4 to all parts of the inequality:

-16 + 4 < 3x - 4 + 4 < 2 + 4

-12 < 3x < 6

Then, divide all parts of the inequality by 3 (since we want to isolate x):

-12/3 < 3x/3 < 6/3

-4 < x < 2

The solution to the inequality is -4 < x < 2.

Answer 2

Solve the compound inequality.

-16 <_ 3x - 4 < 2

Note: Use a comma for an 'or'

Answer 3

To solve the compound inequality:

-16 ≤ 3x - 4 < 2

First, we will add 4 to all parts of the inequality:

-16 + 4 ≤ 3x - 4 + 4 < 2 + 4

-12 ≤ 3x < 6

Then, divide all parts of the inequality by 3 (since we want to isolate x):

-12/3 ≤ 3x/3 < 6/3

-4 ≤ x < 2

The solution to the compound inequality is -4 ≤ x < 2.