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

-3x+9 < -9
Answer:
x=

Determine the smallest integer value of $x$ in the solution of the following inequality. $\newline$ $-3 x+9<-9$ $\newline$ Answer: $x=$

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Solve logarithmic equations II

Full solution

Q. Determine the smallest integer value of

x

in the solution of the following inequality.

\newline

-3 x+9<-9

\newline

Answer:

x=

Isolate x term: Isolate the term containing x. $\newline$ Subtract $9$ from both sides of the inequality. $\newline$ $-3x + 9 - 9 < -9 - 9$ $\newline$ $-3x < -18$
Subtract $9$ : Divide both sides by $-3$ to solve for $x$ . $\newline$ Remember that dividing by a negative number reverses the inequality sign. $\newline$ $-3x / -3 > -18 / -3$ $\newline$ $x > 6$
Divide by $-3$ : Find the smallest integer greater than $6$ . $\newline$ Since $6$ is not included in the solution (the inequality is strict, not ＂greater than or equal to＂), the next integer is $7$ .

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