Understanding Inequalities and Number Lines

The video tutorial covers module three, lesson 10, focusing on writing and interpreting inequality statements involving rational numbers. It begins with an introduction to rational numbers, explaining their properties and examples. The lesson then moves on to understanding inequality symbols and their usage. Through examples, such as pocket money, students learn to write inequality statements. The tutorial also covers graphing inequalities on a number line and applies these concepts to real-world scenarios like weather and sports. The session concludes with a review of key concepts.

Which of the following is a rational number?

• √2

• e

• π

• 0.75

What symbol is used to represent an inequality?

• =

• >

• ≠

• <

If you have $4.50, which inequality correctly represents this amount compared to $4 and $5?

• $4 < $4.50 < $5

• $4 > $4.50 > $5

• $5 < $4.50 < $4

• $4.50 < $4 < $5

How would you graphically represent the inequality $4 < $4.50 < $5 on a number line?

• Plot $4.50 to the right of $5

• Do not plot $4.50

• Plot $4.50 between $4 and $5

• Plot $4.50 to the left of $4

Which of the following statements is true about the rainfall data?

• July had the greatest change in rainfall

• May had the least change in rainfall

• June had the greatest change in rainfall

• All months had the same change in rainfall

What is the correct inequality statement for the football team's yard loss?

• -1 > -3

• -1 < -3

• -3 > -1

• -3 < -1

If Sierra's mother wrote checks for $55 and $75, which inequality represents the account changes?

• -$75 < -$55

• -$55 < -$75

• -$75 > -$55

• -$55 > -$75

When ordering negative numbers on a horizontal number line, which is true?

• All negative numbers are equal

• The number closest to zero is the smallest

• The number furthest from zero is the smallest

• The number closest to zero is the largest

On a vertical number line, which negative number has the larger value?

• The one furthest from zero

• The one closest to zero

• The one at the bottom

• The one at the top

What should you do first when writing an inequality involving three numbers?

• Order the numbers from least to greatest

• Write the inequality symbols first

• Use only positive numbers

• Choose random numbers