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3x <= 7 Which of the following best describes the solutions to the inequality shown above? Choose 1 answer: (A) x <= (3)/(7) (B) x >= (3)/(7) (c) x <= (7)/(3) (D) x >= (7)/(3)

3x≤7 3 x \leq 7 \newlineWhich of the following best describes the solutions to the inequality shown above?\newlineChoose 11 answer:\newline(A) x≤37 x \leq \frac{3}{7} \newline(B) x≥37 x \geq \frac{3}{7} \newline(C) x≤73 x \leq \frac{7}{3} \newline(D) x≥73 x \geq \frac{7}{3}

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Full solution

Q. 3x≤7 3 x \leq 7 \newlineWhich of the following best describes the solutions to the inequality shown above?\newlineChoose 11 answer:\newline(A) x≤37 x \leq \frac{3}{7} \newline(B) x≥37 x \geq \frac{3}{7} \newline(C) x≤73 x \leq \frac{7}{3} \newline(D) x≥73 x \geq \frac{7}{3}
  1. Solve the inequality: Solve the inequality 3x≤73x \leq 7.\newlineTo solve for xx, divide both sides of the inequality by 33.\newlinex≤73x \leq \frac{7}{3}
  2. Divide both sides by 33: Check the solution for any mathematical errors.\newlineDividing both sides of an inequality by a positive number does not change the direction of the inequality. Since 33 is positive, the inequality direction remains the same.
  3. Check for mathematical errors: Match the solution to the given options.\newlineThe solution x≤73x \leq \frac{7}{3} matches option (C) x≤73x \leq \frac{7}{3}.

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