Question

The inequality $|x-2| \leq 8$ is equivalent to $x \geq 10$ $-6 \leq x \leq 10$ $-10 \leq x \leq 6$ $-10 \leq x \leq 10$ $x \leq -6$

Name: the inequality x 2 leq 8 is equivalent to x geq 10 6 leq x leq 10 10 leq x leq 6 10 leq x leq 10 x leq 6 70328
Uploaded: 2020-10-17T14:51:17-08:00
Duration: 43 s
Channel: Harsh Gadhiya
Description: the inequality x 2 leq 8 is equivalent to x geq 10 6 leq x leq 10 10 leq x leq 6 10 leq x leq 10 x leq 6 70328

          The inequality $|x-2| \leq 8$ is equivalent to
$x \geq 10$
$-6 \leq x \leq 10$
$-10 \leq x \leq 6$
$-10 \leq x \leq 10$
$x \leq -6$

Added by Luis Miguel P.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Harsh Gadhiya

10/17/2020

Step 1

Step 2: For an inequality of the form $|u| \leq a$, where $a > 0$, it can be rewritten as $-a \leq u \leq a$. In this case, $u = x-2$ and $a = 8$. Step 3: Apply the rule from Step 2 to the given inequality: $-8 \leq x-2 \leq 8$ Show more…

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