Solve the inequality. Write the solution in​ set-builder notation.

Question

-4x-20>-36

Answer 1

To solve the inequality, we'll first isolate the variable term by adding 20 to both sides:

-4x - 20 + 20 > -36 + 20

This simplifies to:

-4x > -16

Next, we'll divide both sides by -4, remembering to flip the inequality sign when dividing by a negative number:

-4x/-4 < -16/-4

This simplifies to:

x < 4

Therefore, the solution in set-builder notation is:

{x | x < 4}