Would You Rather: Simple Inequalities

Front

Would you rather have x + 4 < 12 dollars or x - 3 > 5 dollars?

Back

x + 4 < 12 dollars

Answer explanation

Choose x + 4 < 12 dollars. Solving gives x < 8, meaning you can have up to 8 dollars. For x - 3 > 5, solving gives x > 8, which means you need more than 8 dollars. The first option is better.

Front

Would you rather spend 2x < 18 minutes on homework or x + 6 <= 20 minutes?

Back

2x < 18 minutes

Answer explanation

To solve 2x < 18, x < 9. For x + 6 <= 20, x <= 14. Since x < 9 is more restrictive, choose 2x < 18 minutes for less homework time.

Front

Would you rather earn 3x > 15 per hour or x + 2 < 10 per hour?

Back

3x > 15 is better than x + 2 < 10.

Answer explanation

To solve 3x > 15, x > 5, meaning you earn more than $15/hour. For x + 2 < 10, x < 8, meaning you earn less than $8/hour. Earning 3x > 15 is the better choice as it offers a higher potential income.

Front

Would you rather solve x - 5 < 8 problems or 2x + 3 > 13 problems?

Back

x - 5 < 8 problems

Answer explanation

To solve x - 5 < 8, we get x < 13. For 2x + 3 > 13, we find x > 5. The first inequality has a broader range (x < 13) compared to the second (x > 5). Thus, solving x - 5 < 8 problems is preferable.

Front

Would you rather have x > -2 siblings or x < 5 pets?

Back

x < 5 pets

Answer explanation

Choosing x < 5 pets is preferable as it allows for a maximum of 4 pets, which is manageable and can provide companionship. In contrast, x > -2 siblings could mean having many siblings, which might be overwhelming.

Front

Would you rather walk x + 3 < 10 miles or 2x - 4 > 6 miles?

Back

2x - 4 > 6 miles

Answer explanation

To solve x + 3 < 10, we get x < 7, meaning you walk less than 7 miles. For 2x - 4 > 6, we find x > 5, meaning you walk more than 5 miles. Walking less than 7 miles is preferable, so choose x + 3 < 10.

Front

Would you rather have x <= 100 followers or x > 50 likes?

Back

x > 50 likes

Answer explanation

Choosing x > 50 likes is preferable as it indicates higher engagement and appreciation for your content, while having x <= 100 followers does not guarantee interaction or interest.

Front

Would you rather read x - 2 < 5 chapters or x + 1 > 6 chapters?

Back

x + 1 > 6 chapters

Answer explanation

To solve x - 2 < 5, we get x < 7, meaning less than 7 chapters. For x + 1 > 6, we find x > 5, meaning more than 5 chapters. Thus, reading x - 2 < 5 chapters (less than 7) is the better choice.

Front

Would you rather have x < 20 minutes of screen time or x > 10 minutes of reading?

Back

x > 10 minutes of reading

Answer explanation

Choosing x > 10 minutes of reading is preferable as it promotes learning and cognitive engagement, while x < 20 minutes of screen time may lead to passive consumption and less intellectual stimulation.

Front

Would you rather save x + 5 > 25 dollars or 2x < 50 dollars?

Back

x + 5 > 25 dollars

Answer explanation

To solve x + 5 > 25, we find x > 20. For 2x < 50, x < 25. Since x can be any value greater than 20 and less than 25, saving x + 5 > 25 dollars is the better choice as it allows for a higher minimum savings.