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Which of the following is mathematically equivalent to 3x+1>4-x?

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Which of the following is mathematically equivalent to 3x+1>4-x?  [#permalink]

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New post 20 Oct 2019, 19:49
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Which of the following is mathematically equivalent to \(3x+1>4-x?\)

A) x< 3/4
B) x< 4/3
C) x> -3/4
D) x> 3/4
E) x> 4/3
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Re: Which of the following is mathematically equivalent to 3x+1>4-x?  [#permalink]

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New post 21 Oct 2019, 03:43
3x+x>4-1
4x>3
x>3/4

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Re: Which of the following is mathematically equivalent to 3x+1>4-x?  [#permalink]

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New post 21 Oct 2019, 08:21
dcummins wrote:
Which of the following is mathematically equivalent to \(3x+1>4-x?\)

A) x< 3/4
B) x< 4/3
C) x> -3/4
D) x> 3/4
E) x> 4/3


\(3x+1>4-x?\)

Or, \(4x > 3\)

Or, \(x > \frac{3}{4}\) , Answer must be (D)
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Re: Which of the following is mathematically equivalent to 3x+1>4-x?  [#permalink]

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New post 21 Oct 2019, 17:30
To simplify the equation, all values of x must be on one side of the equation, and all integers on the other.
3x+1>4-x
4x+1>4
4x>3
x>3/4
Ans=D
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Re: Which of the following is mathematically equivalent to 3x+1>4-x?  [#permalink]

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New post 23 Oct 2019, 19:15
dcummins wrote:
Which of the following is mathematically equivalent to \(3x+1>4-x?\)

A) x< 3/4
B) x< 4/3
C) x> -3/4
D) x> 3/4
E) x> 4/3


Simplifying the given inequality, we have:

3x + 1 > 4 - x

4x > 3

x > 3/4

Answer: D
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Re: Which of the following is mathematically equivalent to 3x+1>4-x?   [#permalink] 23 Oct 2019, 19:15
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