Solve the inequality for u.

-12>=8/9u
Simplify your answer as much as possible.

3 answers

To solve the inequality -12 ≥ (8/9)u, we need to isolate the variable u.

First, we can multiply both sides of the inequality by 9 to eliminate the fraction:

-12 * 9 ≥ (8/9)u * 9

-108 ≥ 8u

To isolate u, we can divide both sides of the inequality by 8:

-108/8 ≥ (8u)/8

-13.5 ≥ u

Therefore, the solution to the inequality is u ≤ -13.5.
without a decimal point
To solve the inequality -12 ≥ (8/9)u, we can start by multiplying both sides of the inequality by 9 to eliminate the fraction:

-12 * 9 ≥ (8/9)u * 9

-108 ≥ 8u

Next, we can divide both sides of the inequality by 8:

-108/8 ≥ (8u)/8

-13.5 ≥ u

Since u must be less than or equal to -13.5, we can simplify the solution as:

u ≤ -14