Question

|3 + x| = 5
Solve for x

Answer 1

x = - 8 , x = 2

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

Answer 2

∑ Hey, richiebustamante90 ⊃

Answer:

x = -8 or x = 2

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