Question

solve the inequality and graph the solution. 2z < 10. plot the endpoints. select an endpoint to change it from closed to open. select the middle of the segment, ray, or line to delete it.

Explanation:

Step1: Isolate the variable z

Divide both sides of $2z < 10$ by 2. So $z<\frac{10}{2}$.

Step2: Simplify the right - hand side

$z < 5$.

Step3: Graph the solution

On the number line, we have an open circle at 5 (since z is strictly less than 5, not equal to 5) and an arrow pointing to the left.

Answer:

The solution of the inequality is $z < 5$. On the number line, place an open circle at 5 and draw an arrow to the left.