Question

For each of the number lines, write an absolute value equation in the form |x-c|=d, where c and d are some numbers, to satisfy the given solution set. -4 6

Answer 1

|x + 4| = 0

|x - 6| = 0

Explanation:

For the given solution set -4 and 6 on the number line, we can write the absolute value equations in the form |x-c| = d as follows:

For the solution -4:

|x - (-4)| = |x + 4| = 0

Explanation: The absolute value of x + 4 is 0 when x = -4.

For the solution 6:

|x - 6| = 0

Explanation: The absolute value of x - 6 is 0 when x = 6.

So, the absolute value equations in the form |x-c| = d for the solution set -4 and 6 are:

|x + 4| = 0

|x - 6| = 0