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

Question

-4x-11>-31

Answer 1

To solve the inequality -4x - 11 > -31, we can start by adding 11 to both sides:

-4x > -31 + 11

Simplifying the right side:

-4x > -20

Next, we can divide both sides by -4. Remember that when you divide an inequality by a negative number, the direction of the inequality sign needs to be flipped:

x < -20 / -4

Simplifying the right side:

x < 5

Therefore, the solution in set-builder notation is:

{x | x < 5}