1. |x|+5=18 (1 point)

Question

A: 5 or -5
B: 13 or -13 (I think it's this one)
C: 18 or -18
D: 23 or -23

Answer 1

To solve the equation |x| + 5 = 18, you can start by subtracting 5 from both sides of the equation:

|x| = 18 - 5

Simplifying this equation gives:

|x| = 13

Now, you can solve for x by considering both the positive and negative cases:

Case 1: x is positive
If x is positive, then |x| would be equal to x. Therefore, in this case, x = 13.

Case 2: x is negative
If x is negative, then |x| would be equal to -x. Therefore, in this case, -x = 13. By multiplying both sides of the equation by -1, you get x = -13.

So, the solutions to the equation |x| + 5 = 18 are x = 13 and x = -13.

Therefore, the correct answer is B: 13 or -13.