Question

rsoslva:
A. |x+2|=4
b. |4x-8|= × + 1​

Answer 1

Explicação passo-a-passo:

a) | x + 2 | = 4

• x + 2 = 4

x = 4 - 2

x = 2

• x + 2 = -4

x = -4 - 2

x = -6

S = {-6, 2}

b) | 4x - 8 | = x + 1

• 4x - 8 = x + 1

4x - x = 1 + 8

3x = 9

x = 9/3

x = 3

• 4x - 8 = -x - 1

4x + x = -1 + 8

5x = 7

x = 7/5

S = {7/5, 3}

Answer 2

$a) |x + 2| = 4 \\ x + 2 = 4 \\ x + 2 = - 4 \\ x = 2 \\ x = -6 \\ x1 = - 6 \: \: \: \: \: x2 = 2$

$b) |4x - 8| = x + 1 \\ |4x - 8| - x = 1 \\ 4x - 8 - x = 1,4x - 8 \frac{ > }{} 0 \\ - (4x - 8) - x = 1,4x - < 0 \\ x = 3,x \frac{ > }{} 2 \\ x = \frac{7}{5} ,x < 2 \\ x = 3 \\ x = \frac{7}{5} \\ \\ x1 = \frac{7}{2} \\ x2 = 3$