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If -8 ≤ a ≤ 1 and -5 ≤ b ≤ 10. Find the sum of minimum and m

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If -8 ≤ a ≤ 1 and -5 ≤ b ≤ 10. Find the sum of minimum and m [#permalink] New post   10 Jun 2019, 11:07
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If -8 ≤ a ≤ 1 and -5 ≤ b ≤ 10. Find the sum of minimum and maximum value of a - |b|.

A. -19
B. -23
C. -18
D. -22
E. -17

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E
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Re: If -8 ≤ a ≤ 1 and -5 ≤ b ≤ 10. Find the sum of minimum and m [#permalink] New post   10 Jun 2019, 12:27
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Minimum value of a-|b|=-8-|10|=-18
Maximum value of a-|b|= 1-|0|=1
Their Sum= -18+1=-17

Dillesh4096 wrote:
If -8 ≤ a ≤ 1 and -5 ≤ b ≤ 10. Find the sum of minimum and maximum value of a - |b|.

A. -19
B. -23
C. -18
D. -22
E. -17

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Re: If -8 ≤ a ≤ 1 and -5 ≤ b ≤ 10. Find the sum of minimum and m [#permalink] New post   11 Jun 2019, 20:14
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Dillesh4096 wrote:
If -8 ≤ a ≤ 1 and -5 ≤ b ≤ 10. Find the sum of minimum and maximum value of a - |b|.

A. -19
B. -23
C. -18
D. -22
E. -17

Posted from my mobile device


Since |b| is nonnegative:

The maximum value is 1 - 0 = 1.

The minimum value is -8 - 10 = -18.

Thus, the sum of the values is -18 + 1 = -17.

Answer: E
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Re: If -8 ≤ a ≤ 1 and -5 ≤ b ≤ 10. Find the sum of minimum and m [#permalink] New post   13 Jun 2019, 11:28
nick1816 wrote:
Minimum value of a-|b|=-8-|10|=-18
Maximum value of a-|b|= 1-|0|=1
Their Sum= -18+1=-17

Dillesh4096 wrote:
If -8 ≤ a ≤ 1 and -5 ≤ b ≤ 10. Find the sum of minimum and maximum value of a - |b|.

A. -19
B. -23
C. -18
D. -22
E. -17

Posted from my mobile device

hi,
How in max value , you have put 0 for |b|?
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Re: If -8 ≤ a ≤ 1 and -5 ≤ b ≤ 10. Find the sum of minimum and m [#permalink] New post   13 Jun 2019, 12:06
Because |b| has a non-negative value, you have to minimize the |b| in order to maximize a-|b|. Minimum value |b| is 0.

For example- If a=1 and b=-1
a-|b|=1-|-1|=1-1=0
Value of a-|b| will decrease, if you go on the left side of 0 on the number-line of b

And if a=1 and b=1
a-|b|=1-|1|=1-1=0
Value of a-|b| will decrease, if you go on the right side of 0 on the number-line of b





Aprajita760 wrote:
nick1816 wrote:
Minimum value of a-|b|=-8-|10|=-18
Maximum value of a-|b|= 1-|0|=1
Their Sum= -18+1=-17

Dillesh4096 wrote:
If -8 ≤ a ≤ 1 and -5 ≤ b ≤ 10. Find the sum of minimum and maximum value of a - |b|.

A. -19
B. -23
C. -18
D. -22
E. -17

Posted from my mobile device

hi,
How in max value , you have put 0 for |b|?

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Re: If -8 a 1 and -5 b 10. Find the sum of minimum and m [#permalink] New post   09 Apr 2024, 05:02
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Re: If -8 a 1 and -5 b 10. Find the sum of minimum and m [#permalink]
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