Write the absolute value inequality in the form

|x-b| |x-b|>c that has the solution set x7.

Answer:

|x - 1| > 6

Step-by-step explanation:

b is the centre:

(-5 + 7) / 2

2/2 = 1

b = 1

c is the distance from the centre

c = 7 - 1 = 6

Since it's an or case, > with the modulus

|x - 1| > 6

|x-1|>6

Step-by-step explanation:

x7.

The distance between - 5 and 7 is

7 - - 5 = 7+5 = 12

Divide that by 2

12/2 = 6

That is the c value

We use the greater than since we have an or

|x-b|>6

Substitute a value in for x with an equals sign to determine b

x=7

7-b = 6

b=1

|x-1|>6