Question

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

- 4x - 18 => - 34

Answer 1

To solve the inequality -4x - 18 ≥ -34, we need to isolate the variable x.

First, we can add 18 to both sides:
-4x - 18 + 18 ≥ -34 + 18
-4x ≥ -16

Then, divide both sides by -4, remembering to flip the inequality sign since we are dividing by a negative number:
-4x/(-4) ≤ -16/(-4)
x ≤ 4

The solution to the inequality is x ≤ 4.

In set-builder notation, this can be written as:
{x | x ≤ 4}