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Determine the largest integer value of x in the solution of the following inequality. 4x+7 < 1 Answer: x=

Determine the largest integer value of x x in the solution of the following inequality.\newline 4 x+7<1 \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.\newline4x+7<1 4 x+7<1 \newlineAnswer: x= x=
  1. Subtract 77: Subtract 77 from both sides of the inequality to isolate the term with xx.\newline4x + 7 - 7 < 1 - 7\newline4x < -6
  2. Divide by 44: Divide both sides of the inequality by 44 to solve for x.\newline(4x)/4 < (-6)/4\newlinex < -1.5
  3. Find largest integer: Since we are looking for the largest integer value of xx, we need to find the integer that is less than −1.5-1.5. The largest integer less than −1.5-1.5 is −2-2.

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