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5-3x > 2x+2 Which of the following best describes the solutions to the inequality shown? Choose 1 answer: (A) x < (7)/(5) (B) x < 3 (C) x < (3)/(5) (D) x > (3)/(5)

5-3x > 2x+2\newlineWhich of the following best describes the solutions to the inequality shown?\newlineChoose 11 answer:\newline(A) x < \frac{7}{5}\newline(B) x < 3\newline(C) x < \frac{3}{5}\newline(D) x > \frac{3}{5}

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Full solution

Q. 5−3x>2x+25-3x > 2x+2\newlineWhich of the following best describes the solutions to the inequality shown?\newlineChoose 11 answer:\newline(A) x<75x < \frac{7}{5}\newline(B) x<3x < 3\newline(C) x<35x < \frac{3}{5}\newline(D) x>35x > \frac{3}{5}
  1. Combine like terms: Combine like terms by moving all terms involving xx to one side and constant terms to the other side.5 - 3x - 2x > 2x + 2 - 2x5 - 5x > 2
  2. Isolate the variable x: Isolate the variable x by moving the constant term to the other side.\newline55 - 55x - 55 > 22 - 55\newline−5-5x > −3-3
  3. Solve for x: Solve for x by dividing both sides by −5-5. Remember that dividing by a negative number reverses the inequality sign.\newline-5x / -5 < -3 / -5\newlinex < \frac{3}{5}

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