Write as one inequality with an absolute value x lessthanore

Write as one inequality with an absolute value. x lessthanorequalto -8 or x greaterthanorequalto 1 Write the inequality in one of the following forms: Between the two absolute value signs (|....|), put x + a x - a for some number a. In the drop-down menu, = means greaterthanorequalto

Solution

x<=-8 or x>=1

This is of the form

I x-a I>=b

x>=a+b or x<=a-b

Comparing both equations we get a+b=1 and a-b=-8

From these two equatiins we get

a=-3.5 and b=4.5

Therefore required inequality is I x+3.5 I>=4.5