Understanding Mathematical Statements and Inequalities

The video tutorial explains how to define variables and write mathematical statements for various scenarios. It covers inequalities and equalities in contexts such as classroom capacity, driving time, contractor experience, sickness days, brothers' ages, credits comparison, insurance costs, and age comparison. Each scenario is broken down with defined variables and corresponding mathematical expressions.

What is the maximum number of people allowed in a classroom according to the fire code?

• 36 or fewer

• Exactly 36

• Less than 36

• More than 36

If it takes more than 25 minutes to drive to Phoenix, which inequality represents this situation?

• m ≤ 25

• m < 25

• m = 25

• m > 25

How is the difference in experience between two contractors represented if it is at least three years?

• a - b = 3

• a - b < 3

• a - b > 3

• a - b ≥ 3

If Marlene and her husband were sick for the same number of days, which equation represents this?

• m = h

• m ≠ h

• m < h

• m > h

What inequality represents the sum of two brothers' ages being less than 28 years?

• a + b ≤ 28

• a + b < 28

• a + b = 28

• a + b > 28

If Sarah is taking six more credits than Corey, which equation represents this?

• s = c - 6

• s = c + 6

• s > c + 6

• s < c + 6

What can be inferred if Rita's insurance cost is not the same as Jose's?

• r ≠ j

• r < j

• r > j

• r = j

If your age is between your sister's and father's ages, which inequality represents this?

• s < m < f

• m < s < f

• m > f > s

• f < m < s

Which of the following is a compound inequality?

• m < s

• m > f

• m < f and m > s

• m = s

What is the more compact way to write the inequality 'm is greater than s and less than f'?

• m > f > s

• f < m < s

• s < m < f

• m < s < f