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

Question

-4x -9 < - 25

Answer 1

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

-4x - 9 < - 25

First, add 9 to both sides of the inequality:

-4x - 9 + 9 < - 25 + 9

Simplifying, we get:

-4x < -16

Next, divide both sides of the inequality by -4. Since we are dividing by a negative number, we need to reverse the inequality symbol:

x > (-16)/(-4)

Simplifying, we get:

x > 4

Therefore, the solution in set-builder notation is:

{x | x > 4}