Question

Solve the following: (Show work please)
|x - 5| = 4
|x - 5| < 4

Answer 1

what have you tried ?

Answer 2

For the first one, I've done x - 5 + 5 = 4 + 5
So x = 9, but that's not one of the options for answers.

Answer 3

I'm supposed to match it with it's "equivalent compound sentence"

Answer 4

so i'm not exactly sure what i'm doing lol

Answer 5

These are simultaneous or single equations?

Answer 6

Match each absolute value sentence with its equivalent compound sentence.

Match

|x - 5| = 4
|x - 5| < 4
|x - 5| > 4
|2x + 3| < 8
|2x + 3| > 8

With

A. x - 5 > 4 or x - 5 < -4
B. -4 < x - 5 < 4
C. -8 < 2x + 3 < 8
D. x - 5 = 4 or x - 5 = -4
E. 2x + 3 > 8 or 2x + 3 < -8

Answer 7

cool they are single, so...

what do we know about |x|< a ?

Answer 8

Umm, x is less than a? (Bare with me I'm horrible at math lol)

Answer 9

\( |x-b| < a \Rightarrow -a<x-b<a \) so, \(|x - 5| < 4 \Rightarrow 1<x<9 \)

Answer 10

Hence, |x - 5| < 4 is B

Answer 11

I got it now thanks