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Which of the following inequalities is equivalent to 12 – 3x

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huda
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Which of the following inequalities is equivalent to 12 – 3x [#permalink] New post   27 Jan 2020, 11:05
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Which of the following inequalities is equivalent to 12 – 3x < –18?

A. x > 10
B. x < 10
C. x > -10
D. x < -10
E. x > 2
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A
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Which of the following inequalities is equivalent to 12 – 3x [#permalink] New post   27 Jan 2020, 11:22
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huda wrote:
Which of the following inequalities is equivalent to 12 – 3x < –18?

A. x > 10
B. x < 10
C. x > -10
D. x < -10
E. x > 2


Take: 12 – 3x < –18
Subtract 12 from both sides to get: –3x < –30
Divide both sides by -3 to get: x > 10 [since we divided both sides of the inequality by a NEGATIVE number, we REVERSED the direction of the inequality symbol (for more on this, see the video below)]

Answer: A

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Re: Which of the following inequalities is equivalent to 12 – 3x [#permalink] New post   23 Dec 2021, 09:52
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Given that 12 – 3x < –18 and we need to find the range of values of x which satisfy this

12 - 3x < -18
=> 3x > 12 + 18
=> 3x > 30
=> x > \(\frac{30}{3}\)
=> x > 10

So, Answer will be A
Hope it helps!

Watch the following video to learn How to Solve Inequality Problems

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Re: Which of the following inequalities is equivalent to 12 3x [#permalink] New post   08 Jul 2024, 18:40
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Re: Which of the following inequalities is equivalent to 12 3x [#permalink]
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