Answer:
q < 7
Step-by-step explanation:
Given:
[tex]\frac{-q}{7} > -1[/tex]
Required:
Find the value of q.
First, multiply both sides by 7
[tex]7 * \frac{-q}{7} > -1 * 7[/tex]
-q > -7
Then, multiply both sides by -1
q < 7
Note that the sign of the inequality changed.
When multiplying or dividing an inequality by a number less than 0 (in other words, a negative numbers), the sign of the inequality will change.
Hence, the solution to the expression above is
q < 7
