Question

|3 + x| = 5 Solve for x

Answer 1

∑ Hey, richiebustamante90 ⊃

Answer:

x = -8 or x = 2

Step-by-step explanation:

→ Given ← :

|3 + x| = 5

→ Solution ← :

Applying absolute rule ~:  $\mathrm{If}\:|u|\:=\:a,\:a > 0\:\mathrm{then}\:u\:=\:a\:\quad \mathrm{or}\quad \:u\:=\:-a$

Thus we have;    $3+x=-5\quad \mathrm{or}\quad \:3+x=5$

Solving each:

$3+x=-5$

$3x-3=-5-3$

$x=-8$

$3+x=5$

$3-3+x=5-3$

$x=2$

Hence, $x=-8\quad \mathrm{or}\quad \:x=2$

xcookiex12

8/22/2022

Answer 2

Answer:

x = - 8 , x = 2

Step-by-step explanation:

the absolute value function always gives a positive result, however, the expression inside can be positive or negative, , that is

x + 3 = 5 ( subtract 2 from both sides )

x = 2

or

-(3 + x) = 5

- 3 - x = 5 ( add 3 to both sides )

- x = 8 ( multiply both sides by - 1 )

x = - 8