Question

|x-3| < 5 please help

Answer 1

Answer:

$\left|x-3\right|$

The graph is also attached.

Step-by-step explanation:

Given the expression

$|x-3|\:$

Apply absolute rule:

$\mathrm{If}\:|u|\:0\:\mathrm{then}\:-a\:$

so the expression becomes

$-5$

$x-3>-5\quad \mathrm{and}\quad \:x-3$

solving condition 1

x−3<5

Add 3 to both sides

x−3+3<5+3

x<8

solving condition 2

x−3>−5

Add 3 to both sides

x−3+3>−5+3

x>−2

combining the intervals

$x>-2\quad \mathrm{and}\quad \:x$

Merging overlapping intervals

$-2$

Therefore,

$\left|x-3\right|$

The graph is also attached.