Question

What is value of x in the equation below? 33 ≥ -6x + 9

Answer 1

Below in bold

Explanation:

33 ≥ -6x + 9

-6x ≤ 33 - 9

-6x ≤ 24

x ≥ -4

- note that the inequality is flipped as we are dividing by a negative.

Answer 2

x ≥ -4

or [-4, ∞)

Explanation:

What is value of x in the equation below?

33 ≥ -6x + 9

subtract 9 from both sides:

33 - 9 ≥ -6x + 9 - 9

24 ≥ -6x

divide both sides by -6 and remember to flip sign direction:

24/-6 ≥ -6x/-6

-4 ≤ x

or: x ≥ -4

in set builder notation: [-4, ∞)