Question

If -3y > 21, which inequality gives the range of values of y?
A. y > 7
B. y > -7
C. y < -7
D. y < 7

Answer 1

To solve the inequality \(-3y > 21\), we will isolate \(y\):

1. Divide both sides by \(-3\). Remember that when you divide or multiply an inequality by a negative number, the inequality sign flips:
\[
y < \frac{21}{-3}
\]

2. Simplify the right side:
\[
y < -7
\]

Thus, the inequality that gives the range of values of \(y\) is:
\[
y < -7
\]

The correct answer is **C. y < -7**.