Question

Which of the following is a solution |x-8| less than or equal to 14

Answer 1

\[|x-8|\le14\]

Answer 2

A.
x = 6
B.
x = 22
C.
x = –4
D.
x = 0

Answer 3

those are my choices

Answer 4

so, that would be giving you either that\[x-8\le14\]or,
\[x-8\ge-14\]

so your solution set (or the equation to find it) would be given this way:

Answer 5

\[-14 \le x-8 \le 14\]

Answer 6

now, add 8 to each piece\[-14 \color{red}{+8}\le x-8\color{red}{+8} \le 14\color{red}{+8}\]

what do you get, can you tell me?

Answer 7

-6
22

Answer 8

16

Answer 9

my answer wld be 22 rite

Answer 10

the answer would be
\[-6 \le x \le 22\]

Answer 11

saying that x can be any [real] number from (and including) -6 ---> till (and including) 22.

Answer 12

In interval notation this can be written as\[x~ \color{red}{\in}~[-6,22]\]

Answer 13

thank you