Understanding Inequalities

The video tutorial explains how to represent real-world scenarios using inequalities. It covers two examples: the high temperature in Phoenix and the number of math problems completed by a student. For each example, the video demonstrates how to write the inequality, graph it on a number line, and analyze boundary values. The tutorial emphasizes understanding when an inequality is true or false and provides examples to illustrate these concepts.

What does the inequality h ≤ 110.9 represent in the context of Phoenix's temperature?

• The temperature is more than 110.9 degrees.

• The temperature is at most 110.9 degrees.

• The temperature is at least 110.9 degrees.

• The temperature is exactly 110.9 degrees.

How is the inequality h ≤ 110.9 represented on a number line?

• With an open point at 110.9 and an arrow to the right.

• With a closed point at 110.9 and an arrow to the left.

• With an open point at 110.9 and an arrow to the left.

• With a closed point at 110.9 and an arrow to the right.

Which value of h makes the inequality h ≤ 110.9 false?

• 105

• 110

• 110.9

• 111

What is the boundary value for the inequality h ≤ 110.9?

• 110

• 111

• 109

• 110.9

Which of the following values of h would satisfy the inequality h ≤ 110.9?

• 111

• 110.5

• 112

• 115

What does the inequality p > 14 represent in the context of Abell's math problems?

• Abell completed more than 14 problems.

• Abell completed at most 14 problems.

• Abell completed exactly 14 problems.

• Abell completed less than 14 problems.

How is the inequality p > 14 represented on a number line?

• With a closed point at 14 and an arrow to the left.

• With an open point at 14 and an arrow to the left.

• With a closed point at 14 and an arrow to the right.

• With an open point at 14 and an arrow to the right.

Which value of p makes the inequality p > 14 true?

• 14

• 12

• 13

• 15

What is the boundary value for the inequality p > 14?

• 13

• 14

• 15

• 16

Which of the following values of p would not satisfy the inequality p > 14?

• 14

• 15

• 16

• 17