Inequalities and Comparisons in Mathematics

This video tutorial covers interpreting inequalities through various examples, including comparing the number of eggs in a carton, weights on an unbalanced hanger, amounts of money, and heights. It also explores comparing fractions and decimals and identifying equivalent expressions with exponents. The lesson aims to enhance understanding of inequalities and their applications in different contexts.

What does the inequality e < 12 signify in the context of the egg carton?

• The carton is empty.

• The carton is full.

• There are fewer than 12 eggs in the carton.

• There are more than 12 eggs in the carton.

Which of the following is a possible value for e if 0 < e < 12?

• 0

• 13

• 12

• 6

If one red circle weighs 12 grams, what inequality represents the weight of one blue square?

• s < 12

• s > 12

• s = 12

• s ≥ 12

Why can't zero be a value for s in the hanger diagram?

• Because s is equal to c.

• Because s is not defined.

• Because s is less than c.

• Because s is greater than c and must have a value.

Which statement is true if Tyler has more than $10, Elena has more than Tyler, and Mai has more than Elena?

• Mai has less than $10.

• Elena has less than $10.

• Tyler has less than $10.

• Mai has more than $10.

What inequality represents Jada's height compared to Diego's if Diego is 54 inches tall?

• j > 54

• j ≤ 54

• j = 54

• j < 54

If Elena is 5 feet tall, what inequality represents Jada's height in inches?

• j < 60

• j > 60

• j = 60

• j ≥ 60

Which is greater: -9/20 or -5/10?

• -9/20

• -5/10

• They are equal

• Cannot be determined

What is the decimal equivalent of -9/20?

• -0.9

• -0.45

• -0.5

• -0.2

Which expression is equivalent to (1/2)^3?

• 1/8

• 1/6

• 1/9

• 1/4