How do you solve $- 17 \leq u - 10$ $-17\leq u - 10$ ?

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Answer 1 · 2017-06-11T00:26:30

See a solution process below:

Add $10$ $color(red)(10)$ to each side of the inequality to solve for $u$ $u$ while keeping the inequality balanced:

$- 17 + 10 \leq u - 10 + 10$ $-17 + color(red)(10) <= u - 10 + color(red)(10)$

$- 7 \leq u - 0$ $-7 <= u - 0$

$- 7 \leq u$ $-7 <= u$

To state the solution in terms of $u$ $u$ we can reverse or "flip" the entire inequality:

$u \geq - 7$ $u >= -7$

How do you solve −17≤u−10-17\leq u - 10?