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Determine the largest integer value of x in the solution of the following inequality. -x+7 > 13 Answer: x=

Determine the largest integer value of x x in the solution of the following inequality.\newline -x+7>13 \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−x+7>13 -x+7>13 \newlineAnswer: x= x=
  1. Isolate variable x: First, we need to isolate the variable xx on one side of the inequality.-x + 7 > 13 Subtract 77 from both sides to get:-x + 7 - 7 > 13 - 7
  2. Simplify inequality: Now, simplify both sides of the inequality. -x > 6
  3. Multiply or divide by −1-1: To solve for xx, we need to multiply or divide by −1-1. Remember that when we do this with an inequality, we must reverse the inequality sign.\newline-x \times (-1) < 6 \times (-1)
  4. Simplify after multiplying: Simplify the inequality after multiplying by −1-1.x < -6
  5. Find largest integer: Since we are looking for the largest integer value of xx, we need to find the integer that is just less than −6-6.\newlineThe largest integer less than −6-6 is −7-7.

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