Question

graph each inequality on a number line. (example 2)

1. $-20 > b$
2. $d \geq 12$
3. $a > -8$
4. $18 \leq c$
5. 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)
6. 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:

9.

Step1: Write the inequality

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

Step2: Graph the inequality

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

10.

Step1: Write the inequality

Since students have no more than 90 minutes, the inequality is \(m\leq90\).

Step2: Graph the inequality

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

Answer:

1. Inequality: \(t < 50\). Graph: Open - circle at 50, shade left.
2. Inequality: \(m\leq90\). Graph: Closed - circle at 90, shade left.