Final answer:
The values that make the inequality true are x values greater than 0 or less than 0.
Step-by-step explanation:
To find the values that make the inequality x+6/6-x true, we can simplify the equation first. The common denominator of the expression is 6, so we can rewrite the inequality as (6x+6)/(6-x). To make this inequality true, the numerator and denominator should have the same sign. If the numerator is positive, the value of x should be greater than 0, and if the numerator is negative, the value of x should be less than 0. So the values that make the inequality true are all x values greater than 0 or less than 0.