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Determine the largest integer value of x in the solution of the following inequality. -4x-9 > 9 Answer: x=

Determine the largest integer value of x x in the solution of the following inequality.\newline -4 x-9>9 \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−4x−9>9 -4 x-9>9 \newlineAnswer: x= x=
  1. Isolate variable x: First, we need to isolate the variable x on one side of the inequality.\newline-4x - 9 > 9\newlineAdd 99 to both sides to move the constant term to the right side.\newline-4x - 9 + 9 > 9 + 9
  2. Simplify inequality: Now, simplify both sides of the inequality. -4x > 18
  3. Divide by −4-4: Next, we divide both sides by −4-4 to solve for xx. Remember that dividing by a negative number reverses the inequality sign.\newline-4x / -4 < 18 / -4
  4. Find value of x: Simplify the inequality to find the value of xx.x < -4.5
  5. Identify largest integer: Since we are looking for the largest integer value of xx, we need to find the integer that is less than −4.5-4.5. The largest integer less than −4.5-4.5 is −5-5.

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