MATH SOLVE

2 months ago

Q:
# Solve the equation with the replacement set {–34, –2, 2, 34}|16 – x| = 18–2, 2–2, 342–34

Accepted Solution

A:

Solve for x over the integers:

abs(16 - x) = 18

Split the equation into two possible cases:

16 - x = 18 or 16 - x = -18

Subtract 16 from both sides:

-x = 2 or 16 - x = -18

Multiply both sides by -1:

x = -2 or 16 - x = -18

Subtract 16 from both sides:

x = -2 or -x = -34

Multiply both sides by -1:

Answer: x = -2 or x = 34

abs(16 - x) = 18

Split the equation into two possible cases:

16 - x = 18 or 16 - x = -18

Subtract 16 from both sides:

-x = 2 or 16 - x = -18

Multiply both sides by -1:

x = -2 or 16 - x = -18

Subtract 16 from both sides:

x = -2 or -x = -34

Multiply both sides by -1:

Answer: x = -2 or x = 34