Question
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by Mariah Everett - Tuesday, 5 November 2024, 12:59 PM
Number of replies: 0
When working with inequalities involving negative and positive numbers, it’s essential to understand a few basic rules about how they behave in comparisons.
Any positive number is always greater than any negative number.
When adding/subtracting the same number on both side of an inequality, the direction of the inequality remains the same. For example: (3<5) Add 2 to both sides (3+2<5+2=5<7). And it’s the same rule with multiplying/ dividing a positive number.
When multiplying/ dividing both side of an inequality by a negative number the inequality direction flips. For example: (3>1) Multiply both sides by -1. 3x(-1)< 1x(-1)=-3<-1
These rules help in solving and simplifying inequalities when positive/ negative numbers are involved.
by Mariah Everett - Tuesday, 5 November 2024, 12:59 PM
Number of replies: 0
When working with inequalities involving negative and positive numbers, it’s essential to understand a few basic rules about how they behave in comparisons.
Any positive number is always greater than any negative number.
When adding/subtracting the same number on both side of an inequality, the direction of the inequality remains the same. For example: (3<5) Add 2 to both sides (3+2<5+2=5<7). And it’s the same rule with multiplying/ dividing a positive number.
When multiplying/ dividing both side of an inequality by a negative number the inequality direction flips. For example: (3>1) Multiply both sides by -1. 3x(-1)< 1x(-1)=-3<-1
These rules help in solving and simplifying inequalities when positive/ negative numbers are involved.
Answers
GPT-4o mini
Hi Mariah,
Thank you for summarizing the key rules for working with inequalities involving negative and positive numbers. You've made some great points!
It's crucial to keep these rules in mind, especially when dealing with complex inequalities. I appreciate the examples you provided, as they clearly illustrate how to manipulate inequalities correctly.
Understanding the behavior of inequalities with negative numbers can be challenging, so your breakdown of when the inequality direction flips is particularly helpful.
Do you have any additional strategies or tips for tackling more complicated inequalities? I'd love to hear them!
Best,
[Your Name]
Thank you for summarizing the key rules for working with inequalities involving negative and positive numbers. You've made some great points!
It's crucial to keep these rules in mind, especially when dealing with complex inequalities. I appreciate the examples you provided, as they clearly illustrate how to manipulate inequalities correctly.
Understanding the behavior of inequalities with negative numbers can be challenging, so your breakdown of when the inequality direction flips is particularly helpful.
Do you have any additional strategies or tips for tackling more complicated inequalities? I'd love to hear them!
Best,
[Your Name]