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Re: If –4 ≤ a ≤ 9, and –3 ≤ b ≤ 2, then what is the greatest [#permalink]
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Peter wrote:
sandy wrote:
If –4 ≤ a ≤ 9, and –3 ≤ b ≤ 2, then what is the greatest possible value of a – b ?

Drill 2
Question: 12
Page: 499


Show: :: OA
11


the ANS should be 12 NOT 11, please check it out. It would be possible that you ignore the equation mark.


Fixed! Thanks for pointing out!
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Re: If –4 ≤ a ≤ 9, and –3 ≤ b ≤ 2, then what is the greatest [#permalink]
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Explanation

You are being asked to subtract the a and b terms. Be careful that you don’t just combine the largest value of a with the largest value of b to get a – b = 9 – 2 = 7, the wrong
answer.

When you combine inequalities, you have to make four calculations to check the four possibilities.

Subtract the smallest values of a and b: –4 – (–3) = –1. Subtract the largest values of a and b: 9 – 2 = 7.

Subtract the smallest value of a and the largest value of b: –4 – 2 = 6.

Subtract the largest value of a and the smallest value of b: 9 – (–3) = 12. Of the four possible values above, the greatest possible value is 12.
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