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For what values of xx is 5x - 7 < 2x + 11 true?\newlineA. x < 1\newlineB. x < 6\newlineC. x > 6\newlineD. x < 18

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Q. For what values of xx is 5x−7<2x+115x - 7 < 2x + 11 true?\newlineA. x<1x < 1\newlineB. x<6x < 6\newlineC. x>6x > 6\newlineD. x<18x < 18
  1. Isolate x inequality: Isolate the variable xx on one side of the inequality.\newlineSubtract 2x2x from both sides of the inequality to get:\newline5x - 7 - 2x < 2x + 11 - 2x\newlineThis simplifies to:\newline3x - 7 < 11
  2. Add 77 both sides: Isolate xx by adding 77 to both sides of the inequality.3x - 7 + 7 < 11 + 7This simplifies to:3x < 18
  3. Divide by 33: Divide both sides of the inequality by 33 to solve for xx.\frac{3x}{3} < \frac{18}{3}This simplifies to:x < 6

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