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A) Quantity A is greater. B) Quantity B is greater. C) The two quantities are equal. D) The relationship cannot be determined from the information given.
A) Quantity A is greater. B) Quantity B is greater. C) The two quantities are equal. D) The relationship cannot be determined from the information given.
\(2x + 1 > 3x + 2\)
or \(x < -1\)
\(5x + 2 > 4x\)
or \(x > -2\)
Therefore \(-2 < x < -1\)
So, QTY A < QTY B
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A) Quantity A is greater. B) Quantity B is greater. C) The two quantities are equal. D) The relationship cannot be determined from the information given.
Turns out that we can solve this with only the first inequality: 2x + 1 > 3x + 2
Take: 2x + 1 > 3x + 2 Subtract 2x from both sides: 1 > x + 2 Subtract 2 from both sides: -1 > x
Since x is less than -1, we can be certain that x is less than 1
Answer: B
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