Understanding Rational Numbers and Inequalities

This lesson covers writing and interpreting inequality statements involving rational numbers. It includes exercises on determining possible values of money, graphing inequalities on a number line, and interpreting data through inequality statements. Real-world applications are explored through examples involving football and textbook costs.

Which of the following is a rational number?

• √2

• π

• 2.5

• e

If you have $4.25 in your pocket, which inequality statement is true?

• $4.25 = $5

• $4.25 > $4

• $4.25 > $5

• $4.25 < $4

What is the correct inequality statement for the numbers 8, n, and 10.5 from least to greatest?

• 8 < n < 10.5

• 10.5 < n < 8

• n < 8 < 10.5

• 8 < 10.5 < n

Which of the following represents the greatest change in rainfall?

• 0.5

• -1.4

• 1.4

• 0.3

In a football game, if a team loses 3 yards on one play and 1 yard on another, which inequality is correct?

• 3 < 1

• 1 < 3

• -1 > -3

• -3 > -1

If Sierra's mother wrote checks for $55 and $75, which inequality statement is true?

• 55 < 55

• 55 = 75

• 75 > 55

• 55 > 75

Which of the following is the correct order from least to greatest: -7, -18.5, -8?

• -18.5, -8, -7

• -18.5, -7, -8

• -7, -18.5, -8

• -8, -18.5, -7

What is the correct inequality for the temperatures 19°F and 40°F?

• 40°F = 19°F

• 19°F > 40°F

• 19°F < 40°F

• 40°F < 19°F

Which of the following is a true statement about the number line?

• Negative numbers are to the right of zero

• Zero is greater than any negative number

• Zero is less than any negative number

• Positive numbers are to the left of zero

If you owe $1 and $0.25, which inequality is correct?

• -1 > -0.25

• -1 = -0.25

• -0.25 < -1

• -0.25 > -1