Solve: −7<2x+1<11

Answer 1

To solve this inequality, we will isolate the variable x.

−7 < 2x + 1 < 11

First, subtract 1 from all three parts of the inequality:

−7 - 1 < 2x + 1 - 1 < 11 - 1

−8 < 2x < 10

Next, divide all three parts of the inequality by 2:

-8/2 < 2x/2 < 10/2

-4 < x < 5

Thus, the solution to the inequality is -4 < x < 5.