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Re: Which of the following inequalities is equivalent to 10 – 2x > 18? [#permalink]
[quote="hirendhanak"]Which of the following inequalities is equivalent to 10 – 2x > 18?

(A) x > -14
(B) x > -4
(C) x > 4
(D) x < 4
(E) x < -4

Fastest way to solve this question is to quickly check the inequality sign of the answer choices.

Post a quick glance you notice two things.

1. all the values of the answer choices are positive
2. 3 answer choices have same sign and two have different signs

As you might know that the question has (-2) as the coefficient of "x" which means we need to multiply x by negative 2.

Only option E when multiplied with -2 and adding 10 will give us the answer.

Hence, Answer is E
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Re: Which of the following inequalities is equivalent to 10 – 2x > 18? [#permalink]
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hirendhanak wrote:
Which of the following inequalities is equivalent to 10 – 2x > 18?

(A) x > -14
(B) x > -4
(C) x > 4
(D) x < 4
(E) x < -4


\(10 – 2x > 18\)

Or, -8 > 2x

Or, 2x < - 8

Or, x < -4

Answer will be (E)
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Which of the following inequalities is equivalent to 10 – 2x > 18? [#permalink]
Since 10 – 2x > 18 is the inequality statement my answer would be (B) x > -4.
Any value greater than -4 will satisfy the inequality equation.

Please advise if disagreed.
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Re: Which of the following inequalities is equivalent to 10 – 2x > 18? [#permalink]
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FB2017 wrote:
Since 10 – 2x > 18 is the inequality statement my answer would be (B) x > -4.
Any value greater than -4 will satisfy the inequality equation.

Please advise if disagreed.


\(10 – 2x > 18\)

\(-8 > 2x\)

\(-4 > x\), NOT x > - 4.

Answer: E, not B.

I suggest you to read the replies above.
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Re: Which of the following inequalities is equivalent to 10 – 2x > 18? [#permalink]
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FB2017 wrote:
Since 10 – 2x > 18 is the inequality statement my answer would be (B) x > -4.
Any value greater than -4 will satisfy the inequality equation.

Please advise if disagreed.

You have fallen into a common trap.

I assume that you first subtracted 10 from each side of the inequality to get: -2x > 8
Then you divided both sides by -2 to get: x > -4
HOWEVER, when you divide both sides on an inequality by a NEGATIVE value, you must REVERSE the direction of the inequality symbol.
So, it should be x < -4

More here:
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Re: Which of the following inequalities is equivalent to 10 – 2x > 18? [#permalink]
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FB2017 wrote:
Any value greater than -4 will satisfy the inequality equation.


I should also point out that you can always TEST values to confirm (or refute) your conclusion.
You are saying that any value greater than -4 will satisfy the inequality

So, let's see if 0 satisfies the given inequality.
Replace x with 0 to get: 10 – 2(0) > 18
Simplify to get: 10 > 18.
Doesn't work.

Cheers,
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Re: Which of the following inequalities is equivalent to 10 – 2x > 18? [#permalink]
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hirendhanak wrote:
Which of the following inequalities is equivalent to 10 – 2x > 18?

(A) x > -14
(B) x > -4
(C) x > 4
(D) x < 4
(E) x < -4


We can simplify the given inequality:

10 - 2x > 18

-2x > 8

x < -4

Answer: E
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Re: Which of the following inequalities is equivalent to 10 2x > 18? [#permalink]
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Re: Which of the following inequalities is equivalent to 10 2x > 18? [#permalink]
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