Question

a) |x-2|= 4

b) |x+2| = 3

c) |4-3x | = 2x -4
​

Answer 1

Oi...

a)

|x - 2| = 4

x - 2 = 4

x - 2 = - 4

x - 2 = 4

x = 4 + 2

x' = 6

x - 2 = - 4

x = - 4 + 2

x" = - 2

S = {6; - 2}

b)

|x + 2| = 3

x + 2 = 3

x + 2 = - 3

x + 2 = 3

x = 3 - 2

x' = 1

x + 2 = - 3

x = - 3 - 2

x" = - 5

S = {1; - 5}

c)

|4 - 3x | = 2x - 4

|4 - 3x| - 2x = - 4

4 - 3x - 2x = - 4

4 - 3x ≥ 0

-(4 -3x) - 2x = - 4

4 - 3x < 0

x = 8/5 , x ≤ 4/3

x = 0, x > 4/3

x ∈ ∅

x ∈ ∅

Bons estudos.