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Determine the largest integer value of x in the solution of the following inequality. 4x-5 < 7 Answer: x=

Determine the largest integer value of x x in the solution of the following inequality.\newline 4 x-5<7 \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−5<7 4 x-5<7 \newlineAnswer: x= x=
  1. Isolate variable term: Isolate the variable term on one side of the inequality.\newlineTo solve for xx, we want to isolate xx on one side of the inequality. We can start by adding 55 to both sides of the inequality to cancel out the −5-5 on the left side.\newline4x - 5 + 5 < 7 + 5\newlineThis simplifies to:\newline4x < 12
  2. Divide by coefficient: Divide both sides of the inequality by the coefficient of xx. To solve for xx, we now divide both sides of the inequality by 44, which is the coefficient of xx. \frac{4x}{4} < \frac{12}{4} This simplifies to: x < 3
  3. Find largest integer: Determine the largest integer value of xx. Since xx is less than 33, the largest integer value that xx can take is one less than 33, because we are looking for the largest integer that is still less than 33. x=2x = 2

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