-7 ≤ 2x +1 < 11

1 answer

To solve the inequality, we need to isolate the variable x.

-7 ≤ 2x + 1 < 11

Subtract 1 from all parts of the inequality:

-7 - 1 ≤ 2x + 1 - 1 < 11 - 1

Simplify:

-8 ≤ 2x < 10

Divide all parts of the inequality by 2:

-8/2 ≤ 2x/2 < 10/2

Simplify:

-4 ≤ x < 5

Therefore, -4 is less than or equal to x, and x is less than 5.