# How do you solve #abs(5-x)<=x#?

##### 1 Answer

Oct 4, 2017

Use the piecewise definition of the absolute value function,

Solve both inequalities.

#### Explanation:

Separate into two inequalities:

Distribute the minus sign in the second inequality:

Add x to both sides of the first inequality and subtract x from both sides of the second:

The second inequality does not depend on x, therefore, we discard it.

Divide both sides of the first inequality by 2:

Flip the inequality