Question

Solve the inequality for u.
.
Simplify your answer as much as possible.

Answer 1

U is greater than or equal to 4

Explanation:

(pretend theres a line under the <)

15 < 39 - 6u

subtract both sides by 39 to get -6u by itself

-24 < -6u

divide both sides by -6 and get u completely by itself

4 < u

u is greater than or equal to 4.

Answer 2

u ≤ 4

Explanation:

The given inequality

15 ≤ 39 - 6u

Subtract 39 from both sides, we get

15 - 39 ≤ 39 - 6u - 39

-24 ≤ -6u

Dividing both sides by -6, we get

4 ≥ u [Remember, when we divide by negative, the direction of

the inequality changes]

Which is u ≤ 4.

Thank you.