Question

Which of the numbers listed below are solutions to the equation? Check all that applylxl= 100A. -100B. 10C. 100D. -10E. 25F. None of these

Answer 1

SOLUTION

Given the question in the question tab, the following are the solution steps to solve the question.

Step 1: Define absolute value

The absolute value or modulus of a real number x, denoted |x|, is the non-negative value of x without regard to its sign.

Step 2: Find the options that satisfies the equation |x|=100

|x|=100 means the positive and negative values of x should give 100

Therefore, we check the options

Option A: -100

$|-100|=100$

Option B: 10

$|10|=10$

Option C: 100

$|100|=100$

Option D: -10

$|-10|=10_{}$

Option E: 25

$|25|=25$

Hence, it can be seen that the options with the correct answers are options A and C.