which of the following is a solution to the inequality below 21 /n - 7 < - 15
To solve the inequality, we'll need to isolate the variable, n.
21/n - 7 < -15
First, let's add 7 to both sides of the inequality:
21/n < -15 + 7
Simplifying further:
21/n < -8
Now, let's multiply both sides of the inequality by n to eliminate the fraction. Note: When multiplying or dividing both sides of an inequality by a negative number, the direction of the inequality sign must be flipped.
n * (21/n) > n * -8
The n on the left side cancels out, and we have:
21 > -8n
Let's divide both sides by -8:
21 / -8 > -8n / -8
This simplifies to:
-2.625 > n
So, the solution to the inequality is: n < -2.625.
None of the given options satisfies this inequality, so none of the options is a solution.