Translate the sentence to an algebraic inequality. The weight of a package is no more than 4 pounds.
1. 0 ≤ x ≤ 4
or
2. x ≤ 4
I leaned more towards the first one, but someone told me I was wrong, and that it was the second one. Which one is correct, and why?
1. 0 ≤ x ≤ 4
or
2. x ≤ 4
I leaned more towards the first one, but someone told me I was wrong, and that it was the second one. Which one is correct, and why?
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The first is correct because it limits the answer to positive numbers. The second form allows for negative numbers and, in reality, a package can not have a negative weight.
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well im pretty sure it has to be the first one too because you cant have a package that weighs less than 0 right so the weight of the package (x) must be more than 0 but less than 4. whoever told you it was the second was not thinking of the question in context. if it was an integer was less than 4 the answer (x) could be less than 0 and therefore it cannot be specified as being between 0 and 4
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The second one is a better answer because the sentence gives no indication of a minimum weight. While we know that a package can't take on negative weight, if you're strictly translating the sentence, (2) is the better choice.