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)

Explanation:

Step1: Define the variable

Let \( t \) be the number of tickets.

Step2: Write the inequality

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

Step3: Graph the inequality

On the number line:

• Draw an open circle at 50 (because 50 is not included in the solution set, since it's fewer than 50, not less than or equal to).
• Shade the part of the number line to the left of 50 (since all values less than 50 satisfy the inequality \( t < 50 \)).

Answer:

The inequality is \( t<50 \). On the number - line, there is an open circle at 50 and the line is shaded to the left of 50.