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Answer:
Your answer would be D). Since -2 is to the left of 1, -2 < 1.
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Step-by-step explanation:
The reason why this would be the correct answer is because it numerically makes sense, and the statement said in the answer choice is correct on the number line.
The numbers that are on the left side of the number line, the negatives, are a lower value than the numbers on the right. To sum it up, the numbers that are more to the left are less value than the ones more to the right.
In the answer choice D, it says, "Since -2 is to the left of 1, -2 < 1."
This is correct because -2 is less than 1, so when you use the the less than sign, it makes sense since -2 is less than 1. To sum it uyp, 1 is greater than -2.
D should be your FINAL answer.
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Why the other answer choices are incorrect:
The reason why answer choice "A" is incorrect because:
-2 is actually not greater than -1. Remember, The numbers that are more to the right are greater than the numbers on the left. -2 is to the left of -1, which means that -1 would be greater than -2. This statement would be incorrect. This is the reason why this answer choice would be wrong.
The reason why answer choice "B" is incorrect because:
-1 is not equal to 1. -1 is more to the left than 1, and since the negative sign is there, they wouldn't be the same. Even though they have the same number, they don't have the same value. If the equation said 1 =1, it would be true, but that's not the case in this answer choice, which would make it incorrect. This is the reason why this answer choice would be wrong.
The reason why answer choice "C" is incorrect because:
-2 is not greater than 1/3. -2 is negative, while 1/3 is positive, therefore making the 1/3 greater than -2. In the answer choice, it's saying that -2 is greater than positive 1/3, which is incorrect. This is the reason why this answer choice would be wrong.
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