Question

Solve the equation:-|b+4|-1=10

Answer 1

Step-by-step explanation:

$|b + 4| - 1 = 10 \\ \\ \therefore \:|b + 4| = 10 + 1 \\ \\ \therefore \:|b + 4| = 11 \\ \\ \therefore \:b + 4 = \pm \: 11 \\ \\ \therefore \:b + 4 = 11 \: \: or \: \: b + 4 = - 11 \\ \\ \therefore \:b = 11 - 4 \: \: or \: \: b = - 11 - 4 \\ \\ \therefore \:b = 7 \: \: or \: \: b = - 15 \\ \\ \therefore \:b = \{ - 15, \: \: 7 \}$