Sure, let's solve the inequality step-by-step.
Given inequality:
[tex]\[
-15 \leq -3y
\][/tex]
To isolate [tex]\( y \)[/tex], we need to get rid of the coefficient of [tex]\( y \)[/tex], which is [tex]\(-3\)[/tex]. We do this by dividing both sides of the inequality by [tex]\(-3\)[/tex]. However, it's important to remember that when we divide both sides of an inequality by a negative number, the direction of the inequality sign reverses.
So, let's divide both sides by [tex]\(-3\)[/tex]:
[tex]\[
\frac{-15}{-3} \geq \frac{-3y}{-3}
\][/tex]
Simplifying both sides:
[tex]\[
5 \geq y
\][/tex]
Or equivalently, we can write it as:
[tex]\[
y \leq 5
\][/tex]
So the solution to the inequality [tex]\( -15 \leq -3y \)[/tex] is:
[tex]\[
y \leq 5
\][/tex]
This means that [tex]\( y \)[/tex] can take any value that is less than or equal to 5.
