Question

solve the inequality and graph the solution. 73 + 9z < 100. 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

Subtract 73 from both sides of the inequality $73 + 9z<100$.
$73 + 9z-73<100 - 73$
$9z<27$

Step2: Solve for z

Divide both sides of the inequality $9z<27$ by 9.
$\frac{9z}{9}<\frac{27}{9}$
$z < 3$

Step3: Graph the solution

On a number - line, plot an open circle at 3 (since the inequality is strict, $z$ cannot equal 3) and draw a ray to the left of 3 to represent all the values of $z$ that satisfy the inequality.

Answer:

The solution of the inequality is $z < 3$. On the number - line, there is an open circle at 3 and a ray extending to the left.