Question

Simplify (Write each expression without using the absolute value symbol)
|x+3| if x>5

Answer 1

When x>5, the expression |x+3| simplifies to x+3 since x+3 will always be a positive number in this range.

Step-by-step explanation:

The question asks to simplify the expression |x+3| when x>5. Since the absolute value of a number is the distance of that number from zero on the number line, it will always be positive or zero. However, when we are given that x>5, it implies that x+3>8, which will always be positive. Therefore, the absolute value is not necessary, and the expression can be simplified to just x+3.