Understanding Inequalities: Why is Option C the Correct Answer?

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In summary, to find the correct option on a multiple choice question, it is important to carefully read and understand the question, analyze each option, and eliminate any that are obviously incorrect. Utilizing available resources and using the process of elimination can also aid in making an educated guess. Strategies such as reading the question carefully, using context clues, and managing time effectively can increase the chances of choosing the correct option. If unsure between two options, it's best to use the process of elimination and make an educated guess. To avoid choosing the wrong option, it's important to read the question carefully, manage time wisely, and utilize available resources. Trusting instincts and not spending too much time on one question can also be helpful.
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squexy
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View attachment 2918Why is the answer "C" and not "B"?
 

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In B, the magnitude of a number does not depend on its sign. Clearly, for B, if x is 2, and y is -6, the expression is not true.

C essentially boils down to this, if you add 5 to both sides:

\(\displaystyle \frac{x}{3} > \frac{y}{3}\)

Multiply both sides by 3:

\(\displaystyle x > y\)

If x is a positive number and y is a negative number (as stated by the question), this is always true! Since, well, a positive number is always greater than a negative number. (Wait) (Wondering)
Therefore, C is the right answer.
 
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FAQ: Understanding Inequalities: Why is Option C the Correct Answer?

How do I know which option is correct?

To find the correct option, you need to carefully read and understand the question or problem. Then, analyze each option and eliminate any that are obviously incorrect. Use any available resources such as textbooks or notes to help you make an educated guess. If you are still unsure, try to eliminate more options by using the process of elimination. If all else fails, it's best to make an educated guess rather than leaving it blank.

Is there a specific strategy for finding the correct option?

Yes, there are a few strategies that can help you find the correct option. Some common strategies include reading the question carefully, eliminating obviously incorrect options, using context clues, and using process of elimination. It's important to find a strategy that works best for you and practice using it to improve your chances of choosing the correct option.

What should I do if I am torn between two options?

If you are unsure between two options, it's best to use the process of elimination to eliminate any obviously incorrect options. Then, evaluate the remaining options and see which one makes the most sense or is supported by evidence. If you are still unsure, it's best to make an educated guess rather than leaving it blank.

How can I avoid choosing the wrong option?

To avoid choosing the wrong option, it's important to read the question carefully and understand what it is asking. Then, carefully analyze each option and eliminate any that are obviously incorrect. Use any available resources such as textbooks or notes to help you make an educated guess. Additionally, it's important to manage your time wisely and avoid rushing through the questions.

Are there any tips for finding the correct option on multiple choice questions?

Some tips for finding the correct option on multiple choice questions include reading the question carefully, eliminating obviously incorrect options, using context clues, and using process of elimination. It's also helpful to manage your time effectively and not spend too much time on one question. It's also important to trust your instincts and make an educated guess if you are unsure.

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