Question

Solve the inequality for u.
7u-30≥-3(2-5u)
Simplify your answer as much as possible.

Answer 1

u ≤ - 3

Explanation:

given the inequality

7u - 30 ≥ - 3(2 - 5u) ← distribute parenthesis

7u - 30 ≥ - 6 + 15u ( subtract 15u from both sides )

- 8u - 30 ≥ - 6 ( add 30 to both sides )

- 8u ≥ 24

divide both sides by - 8, reversing the symbol as a result of dividing by a negative quantity.

u ≤ - 3