Question

Solve each absolute value inequality. Graph the solutions on a number line. |x-7|>1

Answer 1

x>8 and x<6

Explanation:

well first the values of x-7 have to be greater than 1 or, less than -1

because if x-7=-2 then |-2|=2>1 satisfying the equation

so we have

`x-7>1\\\\x-7+7>1+7\\\\x>8`

and we have

`x-7<-1\\\\x-7+7<-1+7\\\\x<6`

to graph it it goes from (-∞,6)∪(8,∞)