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State all integer values of x in the interval [-6,1] that satisfy the following inequality: -3x-10 > 3 Answer: x=

State all integer values of x x in the interval [−6,1] [-6,1] that satisfy the following inequality:\newline -3 x-10>3 \newlineAnswer: x= x=

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Q. State all integer values of x x in the interval [−6,1] [-6,1] that satisfy the following inequality:\newline−3x−10>3 -3 x-10>3 \newlineAnswer: x= x=
  1. Isolate x term: Solve the inequality -3x - 10 > 3. Add 1010 to both sides of the inequality to isolate the term with xx. -3x - 10 + 10 > 3 + 10 -3x > 13
  2. Solve for x: Divide both sides by −3-3 to solve for x.\newlineRemember that dividing by a negative number reverses the inequality sign.\newline-3x / -3 < 13 / -3\newlinex < -13 / 3\newlinex < -4.333\ldots
  3. Identify integer values: Identify the integer values of xx that are less than −4.333…-4.333\ldots and within the interval [−6,1][-6,1]. The integers less than −4.333…-4.333\ldots are −5-5, −6-6, etc. However, we are only interested in the integers within the interval [−6,1][-6,1]. The integer values of xx that satisfy the inequality within the given interval are −5-5 and −6-6.

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