Inequalities and Number Comparisons

This video tutorial covers writing and interpreting inequality statements involving rational numbers. It includes examples such as comparing money values, shoe sizes, and rainfall data. The tutorial also demonstrates graphing inequalities on a number line and provides real-world examples to illustrate the concepts. The lesson concludes with a review of key concepts and encourages students to practice using number lines to justify inequality statements.

What is one possible value for the amount of money in the teacher's pocket if it is less than $5 but more than $4?

• $4.50

• $5.00

• $4.75

• $4.25

Which inequality statement correctly compares $4.75 to $4?

• $4.75 = $4

• $4.75 ≤ $4

• $4.75 > $4

• $4.75 < $4

On a number line, which statement is true about the position of 4.75?

• 4.75 is to the left of 4

• 4.75 is to the right of 5

• 4.75 is between 4 and 5

• 4.75 is at the same position as 4

How can you combine the statements '4 < 4.75' and '4.75 < 5' into a single inequality?

• 4 < 5 < 4.75

• 4.75 < 4 < 5

• 4 < 4.75 < 5

• 5 < 4.75 < 4

Which shoe size is the largest among 8, 9, and 10.5?

• 10.5

• None of the above

• 9

• 8

In the rainfall data comparison, which month had the least change in total rainfall?

• All had the same change

• July

• June

• May

If a football team loses 3 yards on one play and 1 yard on another, which statement is true?

• -3 > -1

• -3 < -1

• -3 = -1

• -3 ≥ -1

Which statement correctly orders the numbers -70, -18, and -18.5 from least to greatest?

• -18.5 < -70 < -18

• -18 < -18.5 < -70

• -18.5 < -18 < -70

• -70 < -18.5 < -18

What is the correct inequality for the change in Sierra's mother's checking account after paying for two textbooks?

• -55 > -75

• -55 < -75

• -55 = -75

• -55 ≥ -75

In a real-world scenario, if you spend $19 and receive $40, which inequality represents this situation?

• -19 > 40

• -19 ≥ 40

• -19 < 40

• -19 = 40