Question

solve the inequality. graph the solution.

-3y < -14

the solution is

Explanation:

Step1: Divide both sides by -3

When dividing an inequality by a negative number, the inequality sign flips. So, \(\frac{-3y}{-3}>\frac{-14}{-3}\).

Step2: Simplify

Simplifying gives \(y > \frac{14}{3}\approx4.67\).

Answer:

\(y > \frac{14}{3}\)

To graph the solution:

• On the number line, since \(y>\frac{14}{3}\), we use an open - circle at \(\frac{14}{3}\) (because \(y\) is not equal to \(\frac{14}{3}\)) and draw an arrow to the right (towards the larger numbers) to represent all values of \(y\) that are greater than \(\frac{14}{3}\).