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8x+6 < 4x+10 Which of the following best describes the solutions to the inequality shown? Choose 1 answer: (A) x < (1)/(3) (B) x < 4 (c) x < 1 (D) x > 1

8 x+6<4 x+10 \newlineWhich of the following best describes the solutions to the inequality shown?\newlineChoose 11 answer:\newline(A) x<\frac{1}{3} \newline(B) x<4 \newline(C) x<1 \newline(D) x>1

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Full solution

Q. 8x+6<4x+10 8 x+6<4 x+10 \newlineWhich of the following best describes the solutions to the inequality shown?\newlineChoose 11 answer:\newline(A) x<13 x<\frac{1}{3} \newline(B) x<4 x<4 \newline(C) x<1 x<1 \newline(D) x>1 x>1
  1. Isolate x terms: Subtract 4x4x from both sides of the inequality to isolate terms with xx on one side.\newline8x + 6 - 4x < 4x + 10 - 4x\newlineThis simplifies to:\newline4x + 6 < 10
  2. Subtract 66: Subtract 66 from both sides of the inequality to isolate the xx term.\newline4x + 6 - 6 < 10 - 6\newlineThis simplifies to:\newline4x < 4
  3. Divide by 44: Divide both sides of the inequality by 44 to solve for x.\newline\frac{4x}{4} < \frac{4}{4}\newlineThis simplifies to:\newlinex < 1

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