Question

1. which of the following describes all the values of x for which the expression 1 / (x + 10) is positive? a) for all values of x, x > 0 b) x > - 10 c) x > - 50 d) x > - 50

Explanation:

Step1: Set up inequality

We want to find when $\frac{1}{x + 10}>0$. For a fraction $\frac{a}{b}$ to be positive, both $a$ and $b$ must have the same sign. Since $a = 1>0$, we need $b=x + 10>0$.

Step2: Solve the inequality

Subtract 10 from both sides of $x+10>0$. We get $x>- 10$.

Answer:

C) $x>-10$