Question

Simplify (write without the absolute value sign)

|x+3|, if x>2

Answer 1

Explanation

Note that if x>2, then x+3>3+2=5. Then x+3>0. Recall that the absolute value function is defined as

`|x|=x \text{ if } x\geq 0`

`|x|=-x \text{ if } x< 0`

Since x+3>0, we have that |x+3|=x+3