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Omni-MATH / An integer x is chosen so that 3x+1 is an even integer. Which of the following must be an odd integer? (A) x+3 (B) x−3 (C) 2x (D) 7x+4 (E) 5x+3

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problem

An integer xx is chosen so that 3x+13x+1 is an even integer. Which of the following must be an odd integer? (A) x+3x+3 (B) x−3x-3 (C) 2x2x (D) 7x+47x+4 (E) 5x+35x+3
Plain-text mathematical notation (without MathML)
An integer x is chosen so that 3x+1 is an even integer. Which of the following must be an odd integer? (A) x+3 (B) x−3 (C) 2x (D) 7x+4 (E) 5x+3
Original LaTeX notation
An integer $x$ is chosen so that $3x+1$ is an even integer. Which of the following must be an odd integer? (A) $x+3$ (B) $x-3$ (C) $2x$ (D) $7x+4$ (E) $5x+3$

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