Writing Inequalities with Variables from Real-World Problems

The video tutorial covers writing inequalities with variables on both sides, starting with a review of inequality symbols and their meanings. It provides examples of simple inequalities from word problems and progresses to more complex problems involving variables on both sides. The tutorial concludes with a multiple choice problem, emphasizing the importance of understanding the order of information and symbols.

Which symbol represents 'less than'?

• ≥

• <

• >

• ≤

What does the symbol '≥' mean?

• Less than or equal to

• Greater than or equal to

• Greater than

• Less than

If Anthony has more than 10 ties, which inequality represents this?

• x ≥ 10

• x > 10

• x ≤ 10

• x < 10

Jessica has spent at least 2 hours on homework. Which inequality represents this?

• x > 2

• x ≥ 2

• x < 2

• x ≤ 2

Taylor had fewer than 3 tacos. Which inequality represents this?

• x < 3

• x > 3

• x ≤ 3

• x ≥ 3

Derek is allowed a maximum of 4 cookies a day. Which inequality represents this?

• x < 4

• x > 4

• x ≤ 4

• x ≥ 4

For what number of hours would it cost less to use ATX electrician than CPTX electrician?

• 100 + 50x ≥ 75x

• 100 + 50x ≤ 75x

• 100 + 50x > 75x

• 100 + 50x < 75x

How many hours will it take for the water level of the Peter's garage to be equal to or less than the Garcias?

• 15 - 2.5x ≥ 5 - 0.75x

• 15 - 2.5x ≤ 5 - 0.75x

• 15 - 2.5x > 5 - 0.75x

• 15 - 2.5x < 5 - 0.75x

How many months will it take for Adam to have more money than Michaela?

• 3000 + 750x < 6000

• 3000 + 750x ≤ 6000

• 3000 + 750x > 6000

• 3000 + 750x ≥ 6000

How many transactions will it take for LA Credit Union to be more expensive than NYC Bank?

• 0.3x < 25 + 0.1x

• 0.3x ≤ 25 + 0.1x

• 0.3x > 25 + 0.1x

• 0.3x ≥ 25 + 0.1x