Question

How do you solve `abs(16-x)>=10`?

Answer 1

Solution: `x <= 6 or x >= 26` . In interval notation `(-oo , 6] uu [26 , oo)`

Explanation:

`|16-x| >=10 or 16-x >= 10 or -x >= -6 or x <= 6` OR
`|16-x| >=10 or 16-x <= -10 or -x <= -26 or x >= 26`

Solution: `x <= 6 or x >= 26` . In interval notation `(-oo , 6] uu [26 , oo)` [Ans]