Multiple Choice |x| + 5 = 18 (1 point) Responses 5 or –5 5 or –5 13 or –13 13 or –13 18 or –18 18 or –18 23 or –23
The correct answer is 13 or -13.
To solve the equation |x| + 5 = 18, you need to isolate the absolute value term on one side. Here are the step-by-step instructions:
1. Subtract 5 from both sides of the equation to isolate the absolute value term:
|x| + 5 - 5 = 18 - 5
|x| = 13
2. The absolute value of any non-negative number is equal to the number itself, while the absolute value of any negative number is equal to the negative of that number.
Therefore, since |x| = 13, we can have two possibilities for x:
a) If x is positive:
x = 13
b) If x is negative:
x = -13
So the correct response is 13 or -13.
To find the value of x, we'll solve the equation |x| + 5 = 18.
First, we need to isolate the absolute value term by subtracting 5 from both sides of the equation:
|x| = 18 - 5
Simplifying, we get:
|x| = 13
Since the absolute value of a number is always positive, x can be equal to either 13 or -13.
Therefore, the correct response is 13 or -13.