If −3y>21

, which inequality gives the range of values of y
?(1 point)
Responses

y>7
y greater than 7

y<7
y less than 7

y<−7
y less than negative 7

y>−7

1 answer

To solve the inequality \(-3y > 21\), we need to isolate \(y\).

  1. First, divide both sides of the inequality by -3. Remember that when you divide by a negative number, the direction of the inequality sign reverses:

\[ y < \frac{21}{-3} \]

  1. Simplifying the right side:

\[ y < -7 \]

Thus, the correct answer is:

y < −7 (y less than negative 7).