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Which of the following inequalities is the solution to the inequality

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Bunuel
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Which of the following inequalities is the solution to the inequality [#permalink] New post   05 Nov 2017, 01:56
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Which of the following inequalities is the solution to the inequality 7x – 5 < 12x + 18?

(A) x < –13/5
(B) x > –23/5
(C) x < –23/5
(D) x > 23/5
(E) x < 23/5
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B
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generis
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Which of the following inequalities is the solution to the inequality [#permalink] New post   05 Nov 2017, 13:10
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Bunuel wrote:
Which of the following inequalities is the solution to the inequality 7x – 5 < 12x + 18?

(A) x < –13/5
(B) x > –23/5
(C) x < –23/5
(D) x > 23/5
(E) x < 23/5


\(7x – 5 < 12x + 18\)

\(-23 < 5x\)

\(-\frac{23}{5} < x\)

\(x > -\frac{23}{5}\)

Answer B
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JeffTargetTestPrep
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Re: Which of the following inequalities is the solution to the inequality [#permalink] New post   08 Nov 2017, 17:34
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Bunuel wrote:
Which of the following inequalities is the solution to the inequality 7x – 5 < 12x + 18?

(A) x < –13/5
(B) x > –23/5
(C) x < –23/5
(D) x > 23/5
(E) x < 23/5


We can simplify the given inequality:

7x - 5 < 12x + 18

-23 < 5x

-23/5 < x

Answer: B
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Re: Which of the following inequalities is the solution to the inequality [#permalink] New post   30 Oct 2022, 10:04
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We need to find Which of the following inequalities is the solution to the inequality 7x – 5 < 12x + 18?

7x – 5 < 12x + 18
=> 12x - 7x > -5 - 18
=> 5x > -23
=> x > \(\frac{-23}{5}\)

So, Answer will be B
Hope it helps!

Watch the following video to learn How to Solve Inequality Problems

GMAT Club Bot
gmatclubot
Re: Which of the following inequalities is the solution to the inequality [#permalink]
30 Oct 2022, 10:04
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