Question

1. there will be fewer than 50 tickets sold for a charity event. write and graph an inequality that represents the number of tickets t that will be sold for the event. (example 3)
2. students have no more than 90 minutes to complete a test. write and graph an inequality that represents the time in minutes m students have to complete the test. (example 3)

Explanation:

Step1: Write the inequality for problem 9

Since there will be fewer than 50 tickets sold, the inequality is \(t < 50\).

Step2: Graph the inequality for problem 9

On a number line, draw an open circle at 50 (because 50 is not included) and shade to the left.

Step3: Write the inequality for problem 10

Since students have no more than 90 minutes, the inequality is \(m\leqslant90\).

Step4: Graph the inequality for problem 10

On a number line, draw a closed circle at 90 (because 90 is included) and shade to the left.

Answer:

For problem 9: The inequality is \(t < 50\). Graph: open - circle at 50, shade left.
For problem 10: The inequality is \(m\leqslant90\). Graph: closed - circle at 90, shade left.