Question

Solve the absolute value equation. 4 - IXI = 1

Answer 1

The absolute value equation 4 - |x| = 1 is solved by isolating the absolute value to get 3 = |x|, which implies the solutions x = 3 and x = -3.

Step-by-step explanation:

To solve the absolute value equation 4 - |x| = 1,

we first isolate the absolute value on one side of the equation:

• 4 - 1 = |x|
• 3 = |x|

This means that x can be either 3 or -3 because the absolute value of both numbers is 3.

Therefore, the solution to the absolute value equation is x = 3 or x = -3.