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If ab > 0 and a < 0, which of the following is negative?

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If ab > 0 and a < 0, which of the following is negative?  [#permalink]

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New post 06 Mar 2018, 21:42
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A
B
C
D
E

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  15% (low)

Question Stats:

85% (00:29) correct 15% (00:33) wrong based on 36 sessions

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Re: If ab > 0 and a < 0, which of the following is negative?  [#permalink]

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New post 06 Mar 2018, 21:42
Bunuel wrote:
If ab > 0 and a < 0, which of the following is negative?

A) b

B) -b

C) -a

D) a/b

E) -(a + b)



9. Inequalities



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If ab > 0 and a < 0, which of the following is negative?  [#permalink]

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New post 07 Mar 2018, 15:20
Bunuel wrote:
If ab > 0 and a < 0, which of the following is negative?

A) b

B) -b

C) -a

D) a/b

E) -(a + b)

Number theory
Given: \(ab > 0\)

Result? \(a\) and \(b\) have the same sign.
Either both are negative, or both are positive.
(-2)*(-3) = 6
(2)*(3) = 6

Given: \(a < 0\)

\(a\)
is negative.

The variables have the same sign.
\(b\) must also be negative.

Answer A

Answer choices
a < 0
Let a = -6
ab > 0
Let ab = 18
(-6)(b) = 18
b = -3

A) b
b = -3. Negative. Correct. Keep.

B) -b
-b = -(-3) = 3. Positive. Reject.

C) -a
a = -6. -a = -(-6) = 6. Positive. Reject.

D) a/b
-6/-3 = 2. Positive. Reject.
(if the product of two numbers is positive, the quotient of two numbers will be positive).

E) -(a + b)
-(-6 +(-3)) =
-(-6 - 3) =
-(-9) = 9. Positive. Reject.
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If ab > 0 and a < 0, which of the following is negative?   [#permalink] 07 Mar 2018, 15:20
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If ab > 0 and a < 0, which of the following is negative?

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