Question

solve the inequality and graph the solution.
\\( \frac { y } { 2 } < - 2 \\)
to draw a ray, plot an endpoint and select an arrow. select an endpoint to change it from
closed to open. select the middle of the ray to delete it.
submit

Explanation:

Step1: Solve the inequality

Multiply both sides of $\frac{y}{2}<-2$ by $2$.
$$\frac{y}{2}\times2<-2\times2$$
$$y < - 4$$

Step2: Graph the solution

Since $y < - 4$, the endpoint at $y=-4$ is open (because the inequality is strict, i.e., $<$ not $\leq$). The ray points to the left (towards smaller values of $y$).

Answer:

The solution of the inequality is $y < - 4$. On the number - line, we plot an open circle at $-4$ and draw a ray to the left.