Decoding Words into Inequalities

This video tutorial introduces the concept of inequalities, comparing them to equations. It outlines three key questions to help determine which inequality symbol to use: could it be less than, more than, or exactly that? The tutorial provides examples and practice problems to illustrate these concepts, emphasizing the importance of understanding the context of a problem to choose the correct inequality symbol. The video concludes with encouragement to practice these skills.

What is the main difference between equations and inequalities?

• Equations have variables, inequalities do not.

• Equations always have equal sides, inequalities do not.

• Inequalities always have equal sides, equations do not.

• Inequalities do not involve numbers.

Which question should you ask to determine if you need a 'less than' symbol?

• Could it be less than that?

• Could it be exactly that?

• Could it be more than that?

• Could it be equal to that?

If a situation states 'at most', which inequality symbol should you use?

• Less than or equal to

• Less than

• Greater than

• Equal to

If a situation states 'at least', which inequality symbol should you use?

• Less than

• Equal to

• Less than or equal to

• Greater than or equal to

What inequality symbol should be used if a situation could be exactly a certain value?

• Less than

• Greater than

• Equal to

• Less than or equal to

Nick has $7. Bagels cost $0.75 each and cream cheese costs $1.29. What inequality represents the number of bagels Nick can buy?

• 0.75x + 1.29 ≤ 7

• 0.75x + 1.29 ≥ 7

• 0.75x + 1.29 < 7

• 0.75x + 1.29 > 7

Three friends earned more than $200 washing cars and paid $28 for supplies. What inequality represents the amount each friend earned?

• 3x - 28 < 200

• 3x + 28 > 200

• 3x + 28 < 200

• 3x - 28 > 200

The booster club needs to raise at least $7000. They have raised $1250 so far. What inequality represents the average amount each of the 92 members can raise?

• 92x + 1250 ≥ 7000

• 92x + 1250 ≤ 7000

• 92x + 1250 > 7000

• 92x + 1250 < 7000

Ella has $40 to spend at the fair. Admission is $6 and each ride costs $3. What inequality represents the number of rides she can go on?

• 3x + 6 > 40

• 3x + 6 ≤ 40

• 3x + 6 < 40

• 3x + 6 ≥ 40

Due to fire laws, no more than 720 people may attend a performance. The balcony holds 120 people and there are 32 rows on the ground floor. What inequality represents this situation?

• 32x + 120 ≥ 720

• 32x + 120 ≤ 720

• 32x + 120 > 720

• 32x + 120 < 720