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Determine the largest integer value of x in the solution of the following inequality. -2x+8 > 20 Answer: x=

Determine the largest integer value of x x in the solution of the following inequality.\newline -2 x+8>20 \newlineAnswer: x= x=

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Full solution

Q. Determine the largest integer value of x x in the solution of the following inequality.\newline−2x+8>20 -2 x+8>20 \newlineAnswer: x= x=
  1. Isolate variable term: Isolate the variable term on one side of the inequality.\newlineWe start by subtracting 88 from both sides of the inequality to isolate the term with the variable xx.\newline-2x + 8 - 8 > 20 - 8\newlineThis simplifies to:\newline-2x > 12
  2. Divide by −2-2: Divide both sides of the inequality by −2-2 to solve for xx. When dividing by a negative number, the direction of the inequality changes. -2x / -2 < 12 / -2 This simplifies to: x < -6
  3. Find largest integer: Determine the largest integer value of xx that satisfies the inequality.\newlineSince xx must be less than −6-6, the largest integer value that xx can take is −7-7, because −7-7 is the next integer less than −6-6.

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