Understanding Inequalities and Number Lines

The video tutorial covers lesson 34 of module 4, focusing on writing and graphing inequalities from real-world situations. It includes examples like Rita's cake orders and Casey's lawn mowing to illustrate how to set up and solve inequalities. The lesson emphasizes the importance of identifying variables, signs, and numbers to correctly write inequalities and graph them on a number line. Students are encouraged to practice with additional examples and understand the infinite solutions that inequalities can represent.

What are the three components needed to write an inequality?

• Variable, sign, and number

• Variable, equation, and number

• Sign, equation, and variable

• Number, equation, and sign

If Rita needs more than four days to complete her cake orders, which inequality represents this situation?

• d < 4

• d ≥ 4

• d > 4

• d ≤ 4

How is an open circle used on a number line?

• To represent a number that is less than

• To represent a number that is included

• To represent a number that is not included

• To represent a number that is equal

What does a closed dot on a number line signify?

• The number is not included

• The number is included

• The number is greater

• The number is less

If Rita must complete her orders in seven days or less, which inequality represents this?

• d > 7

• d < 7

• d ≤ 7

• d ≥ 7

Casey earns $15 per hour and needs at least $90. How many hours should he work?

• At least 7 hours

• At least 6 hours

• At least 5 hours

• At least 8 hours

What inequality represents Casey's work hours if he needs at least $90?

• h ≥ 6

• h > 6

• h ≤ 6

• h < 6

Chad needs at least 24 minutes to complete a race. What is the maximum time he wants to finish in?

• 30 minutes

• 24 minutes

• 26 minutes

• 28 minutes

Ava saves $60 each week. How many weeks does she need to save to reach at least $2400?

• 30 weeks

• 45 weeks

• 35 weeks

• 40 weeks

Clara can afford pants that are less than $25. If she has $100, how many pairs can she buy?

• 4 pairs

• 5 pairs

• 6 pairs

• 3 pairs