Consecutive Even Numbers and Savings

Vincent introduces two inequality word problems. The first problem involves calculating the minimum average amount Maya needs to save monthly to reach her savings goal. The second problem requires finding two consecutive even numbers whose sum is greater than a specific value. Vincent explains the steps to solve these problems using inequalities and verifies the solutions. The video concludes with a call to action for viewers to like, subscribe, and suggest future topics.

What is the main goal Maya is trying to achieve in the first problem?

• Save exactly $1,500 in 12 months

• Save at least $1,500 in 12 months

• Spend $1,500 in 12 months

• Save $1,200 in 12 months

How much has Maya already saved in the first four months?

• $500

• $400

• $200

• $300

What is the least average amount Maya needs to save each month for the remaining months?

• $180

• $120

• $100

• $150

In the second problem, what are we trying to find?

• Two consecutive odd numbers

• Two random numbers

• Two consecutive even numbers

• Two prime numbers

What does the phrase '98 decreased by twice the larger' mean in the context of the second problem?

• Multiply 98 by the larger number

• Divide 98 by twice the larger number

• Subtract twice the larger number from 98

• Add 98 to twice the larger number

What is the first even number greater than 23?

• 22

• 24

• 28

• 26

What are the two consecutive even numbers that solve the second problem?

• 26 and 28

• 28 and 30

• 24 and 26

• 22 and 24

Why do the numbers 22 and 24 not satisfy the conditions of the second problem?

• Their sum is less than required

• They are not consecutive

• Their sum is greater than required

• They are not even numbers

What is the sum of the two consecutive even numbers 24 and 26?

• 54

• 52

• 50

• 48

What is the final conclusion about the smallest possible values for the two integers in the second problem?

• They are 26 and 28

• They are 24 and 26

• They are 22 and 24

• They are 20 and 22