1/(x+7)>0 — step-by-step solution

Let's solve in

ℝ

\frac{1}{x + 7} > 0

⇥The expression

x + 7

is zero at

x = -7

(forbidden value), it is negative before and positive after

Let's draw up the sign table:

Candidates, pending the domain check:

x > -7

Let's evaluate the domain of

\frac{1}{x + 7} > 0

For the expression

\frac{1}{x + 7}

to exist, you must check:

x + 7 \neq 0

ⓘ We subtract

7

from both sides

Domain constraints:

x \neq -7

▶Solution:

x > -7