Question

solve the inequality. graph the solution.
-3y < -14
the solution is
there is a number line with marks from -1 to 8 and some graphing options above it

Explanation:

Step1: Divide both sides by -3

When dividing an inequality by a negative number, the inequality sign flips. So, divide both sides of \(-3y < -14\) by \(-3\):
\(y > \frac{14}{3}\) (since \(\frac{14}{3} \approx 4.67\))

Step2: Interpret the solution

The solution to the inequality \(-3y < -14\) is all real numbers \(y\) greater than \(\frac{14}{3}\) (or approximately \(4.67\)). For graphing, we would use an open circle at \(\frac{14}{3}\) (or \(4\frac{2}{3}\)) on the number line and shade to the right.

Answer:

\(y > \frac{14}{3}\) (or \(y > 4\frac{2}{3}\))