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If |1 – x| = 6 and |2y – 6| = 10, which of the following co

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If |1 – x| = 6 and |2y – 6| = 10, which of the following co [#permalink] New post 23 Jul 2018, 09:57
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If |1 – x| = 6 and |2y – 6| = 10, which of the following could be the value of xy?

Indicate all such values.

A. –40

B. –14

C. –10

D. 56
[Reveal] Spoiler: OA

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Re: If |1 – x| = 6 and |2y – 6| = 10, which of the following co [#permalink] New post 24 Jul 2018, 20:03
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Carcass wrote:
If |1 – x| = 6 and |2y – 6| = 10, which of the following could be the value of xy?

Indicate all such values.

A. –40

B. –14

C. –10

D. 56



when dealing with modulus we have asses both the option.

1. positive case:

1 -x = 6

-x = 5
x= -5

2. negative case

-1 + x = 6

x = 7.

3. positive case .

2y - 6 = 10

y = 8

4. negative case .

-2y + 6 = 10

y = -2.

So , we will have 4 sets of values of xy.

1. -5 *8 =-40
2. -5 * -2 = 10
3. 7*8 =56
4 7* -2 = -14

So, the correct answer is a,b,d.
Re: If |1 – x| = 6 and |2y – 6| = 10, which of the following co   [#permalink] 24 Jul 2018, 20:03
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If |1 – x| = 6 and |2y – 6| = 10, which of the following co

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