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ANTONII [103]
2 years ago
10

|3 + x| = 5 Solve for x

Mathematics
2 answers:
Elodia [21]2 years ago
8 0

∑ Hey, richiebustamante90 ⊃

Answer:

x = -8 or x = 2

Step-by-step explanation:

<u>→ Given ← :</u>

|3 + x| = 5

<u>→ Solution ← :</u>

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

<u><em>xcookiex12</em></u>

<u><em></em></u>

<em>8/22/2022</em>

bearhunter [10]2 years ago
5 0

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

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