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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 $x$ in the solution of the following inequality. $\newline$ $4 x-5<7$ $\newline$ Answer: $x=$

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Evaluate powers with negative or zero exponents

Full solution

Q. Determine the largest integer value of

x

in the solution of the following inequality.

\newline

4 x-5<7

\newline

Answer:

x=

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

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