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Determine the smallest integer value of
x in the solution of the following inequality.

4x-1 > -12
Answer:
x=

Determine the smallest integer value of $x$ in the solution of the following inequality. $\newline$ $4 x-1>-12$ $\newline$ Answer: $x=$

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Evaluate powers with negative or zero exponents

Full solution

Q. Determine the smallest integer value of

x

in the solution of the following inequality.

\newline

4 x-1>-12

\newline

Answer:

x=

Identify Inequality: Identify the inequality to solve. $\newline$ We are given the inequality $4x - 1 > -12$ .
Isolate Variable Term: Isolate the variable term by adding $1$ to both sides of the inequality. $4x - 1 + 1 > -12 + 1$ This simplifies to: $4x > -11$
Divide by $4$ : Divide both sides of the inequality by $4$ to solve for $x$ . $\frac{4x}{4} > \frac{-11}{4}$ This simplifies to: $x > \frac{-11}{4}$
Convert to Decimal: Convert the fraction to a decimal to better understand the inequality. $\newline$ $-\frac{11}{4}$ is the same as $-2.75$ . $\newline$ So, $x > -2.75$
Find Integer Value: Determine the smallest integer value of $x$ that is greater than $-2.75$ . Since $-2$ is the next integer greater than $-2.75$ , the smallest integer value of $x$ that satisfies the inequality is $-2$ .

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