Given the linear equation y = ax + b, for what values of x w : GMAT Data Sufficiency (DS)
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# Given the linear equation y = ax + b, for what values of x w

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Given the linear equation y = ax + b, for what values of x w [#permalink]

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09 Nov 2012, 20:49
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Given the linear equation y = ax + b, for what values of x will y < 0?

(1) b = 3

(2) a < 0
[Reveal] Spoiler: OA
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Re: Given the linear equation y = ax + b, for what values of x w [#permalink]

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09 Nov 2012, 21:12
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Archit143 wrote:
Given the linear equation y = ax + b, for what values of x will y < 0?

(1) b = 3

(2) a < 0

1) y = ax + 3. y will be less than 0 for all ax < -3. Insufficent.

2) Clearly insufficient. Even if we assign one value to a(which itself is uncertain), x and b can still take several values. y = -x+b. Insufficient

1 & 2 together. y = ax + 3 and a is negative. x can take values of several +ve numbers whose range cannot be determined without knowing value of a. Insufficient. Answer is E.

Doubt if this is a 700 level question.

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Re: Given the linear equation y = ax + b, for what values of x w [#permalink]

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13 May 2013, 19:10
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Given the linear equation y = ax + b, for what values of x will y < 0?

(1) b = 3

(2) a < 0

Looking at a high level, it's a linear equation and any linear eqn has infinite solutions. If i am running out of time, a cursory look at the question will tell me that even if i know the line equation , i can't find all the solutions. I will mark E in less than 30 sec and move on.

Remember the equation of a slope point form. y=mx+c.

1)gives us the y intercept, but we don't know the slope so can't say anything.
2)this tells us that the slope is negative. Not much help.

1+2 -> Still doesn't give equation of a line. Note that even if we have the equation, we can't possibly give all the values of x .-> E.
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Re: Given the linear equation y = ax + b, for what values of x w [#permalink]

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11 Dec 2014, 23:53
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Re: Given the linear equation y = ax + b, for what values of x w [#permalink]

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04 Jun 2016, 02:31
Hello from the GMAT Club BumpBot!

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Re: Given the linear equation y = ax + b, for what values of x w [#permalink]

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14 Jul 2016, 21:44
Archit143 wrote:
Given the linear equation y = ax + b, for what values of x will y < 0?

(1) b = 3

(2) a < 0

(1) b = 3
Putting b = 3 in the equation gives us
y=ax+3
Still two unknown variable a and x
Insufficient

(2) a < 0
Putting a in equation
y=+_ (ax) + b
b is unknown x is unknown
INsufficient

Merging the two

y=(+-) ax + 3

still x is unknown if its positive then equation will become
y=3-ax

If its negative then equation will become
y=ax+3

THEREFORE INSUFFICIENT

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Re: Given the linear equation y = ax + b, for what values of x w   [#permalink] 14 Jul 2016, 21:44
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