Question

Solve 3||y+6||=30.

Multiple choice question.


A)
{–16,4}




B)
{–12,8}




C)
{4,16}




D)
{–4,4}

Answer 1

Explanation:

||y + 6|| = 10

Next, we can consider the two possible cases:

Case 1: y + 6 ≥ 0

If y + 6 is non-negative, then the absolute value of y + 6 is just y + 6 itself. So we have:

y + 6 = 10

y = 4

Case 2: y + 6 < 0

If y + 6 is negative, then the absolute value of y + 6 is the opposite of y + 6, which is -(y + 6). So we have:

-(y + 6) = 10

y + 6 = -10

y = -16

Therefore, the solutions to the equation 3||y + 6|| = 30 are y = 4 and y = -16.