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7x+1 < x+9 Which of the following best describes the solutions to the inequality shown? Choose 1 answer: (A) x > (4)/(3) (B) x < (4)/(3) (C) x < 1 (D) x < (5)/(3)

7x+1 < x+9\newlineWhich of the following best describes the solutions to the inequality shown?\newlineChoose 11 answer:\newline(A) x > \frac{4}{3}\newline(B) x < \frac{4}{3}\newline(C) x < 1\newline(D) x < \frac{5}{3}

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Full solution

Q. 7x+1<x+97x+1 < x+9\newlineWhich of the following best describes the solutions to the inequality shown?\newlineChoose 11 answer:\newline(A) x>43x > \frac{4}{3}\newline(B) x<43x < \frac{4}{3}\newline(C) x<1x < 1\newline(D) x<53x < \frac{5}{3}
  1. Subtract xx from both sides: Subtract xx from both sides of the inequality to get all the xx terms on one side.\newline7x + 1 - x < x + 9 - x\newline6x + 1 < 9
  2. Subtract 11 from both sides: Subtract 11 from both sides of the inequality to isolate the term with x.\newline6x + 1 - 1 < 9 - 1\newline6x < 8
  3. Divide both sides by 66: Divide both sides of the inequality by 66 to solve for x.\newline\frac{6x}{6} < \frac{8}{6}\newlinex < \frac{4}{3}

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