Solve for u. -2 - -1u ≤ 5 ______

Isolate variable term: Isolate the variable term -1u by adding 2 to both sides of the inequality. -2 - -1u ≤ 5 -2 + 2 - -1u ≤ 5 + 2 -1u ≤ 7Multiply by -1: Since -1u is the same as -u, we can write the inequality as -u ≤ 7. Now, we need to get rid of the negative sign in front of u by multiplying both sides by -1. Remember that when we multiply or divide both sides of an inequality by a negative number, we must reverse the inequality sign. -u ≤ 7 (-1)(-u) ≥ (-1)(7) u ≥ -7

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Solve for $u$ . $\newline$ $-2 - (-1)u \leq 5$

View step-by-step help

Home

Math Problems

Grade 8

Solve multi-step inequalities

Full solution

Q. Solve for

u

\newline

-2 - (-1)u \leq 5

Isolate variable term: Isolate the variable term $-1u$ by adding $2$ to both sides of the inequality. $\newline$ $-2 - -1u \leq 5$ $\newline$ $-2 + 2 - -1u \leq 5 + 2$ $\newline$ $-1u \leq 7$
Multiply by $-1$ : Since $-1u$ is the same as $-u$ , we can write the inequality as $-u \leq 7$ . Now, we need to get rid of the negative sign in front of $u$ by multiplying both sides by $-1$ . Remember that when we multiply or divide both sides of an inequality by a negative number, we must reverse the inequality sign. $\newline$ $-u \leq 7$ $\newline$ $(-1)(-u) \geq (-1)(7)$ $\newline$ $u \geq -7$