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6x-2 < 2x+3 Which of the following best describes the solutions to the inequality shown? Choose 1 answer: (A) x < (5)/(4) (B) x > (5)/(4) (C) x < (1)/(4) (D) x < (5)/(8)

6 x-2<2 x+3 \newlineWhich of the following best describes the solutions to the inequality shown?\newlineChoose 11 answer:\newline(A) x<\frac{5}{4} \newline(B) x>\frac{5}{4} \newline(C) x<\frac{1}{4} \newline(D) x<\frac{5}{8}

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Full solution

Q. 6x−2<2x+3 6 x-2<2 x+3 \newlineWhich of the following best describes the solutions to the inequality shown?\newlineChoose 11 answer:\newline(A) x<54 x<\frac{5}{4} \newline(B) x>54 x>\frac{5}{4} \newline(C) x<14 x<\frac{1}{4} \newline(D) x<58 x<\frac{5}{8}
  1. Isolate variable term: Isolate the variable term on one side of the inequality.\newlineSubtract 2x2x from both sides of the inequality to get:\newline6x - 2 - 2x < 2x + 3 - 2x\newlineThis simplifies to:\newline4x - 2 < 3
  2. Addition to isolate x: Isolate the variable xx on one side by adding 22 to both sides of the inequality.4x - 2 + 2 < 3 + 2This simplifies to:4x < 5
  3. Divide to solve for x: Divide both sides of the inequality by 44 to solve for x.\newline\frac{4x}{4} < \frac{5}{4}\newlineThis simplifies to:\newlinex < \frac{5}{4}

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