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Which of the following is a solution to the inequality below?

{:[-16 < (x)/(5)],[x=-140]:}

x=-85

x=-35

x=-130

Which of the following is a solution to the inequality below? $\newline$ $\begin{array}{r} -16<\frac{x}{5} \end{array}$ $\newline$ $x=-140$ $\newline$ $x=-85$ $\newline$ $x=-35$ $\newline$ $x=-130$

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Solutions to inequalities

Full solution

Q. Which of the following is a solution to the inequality below?

\newline

\begin{array}{r} -16<\frac{x}{5} \end{array}

\newline

x=-140

\newline

x=-85

\newline

x=-35

\newline

x=-130

Substitute $x = -85$ : Step $1$ : Substitute $x = -85$ into the inequality $-16 < \frac{x}{5}$ . $\newline$ Calculate: $-16 < \frac{-85}{5}$ $\newline$ $-16 < -17$
Check $x = -85$ : Step $2$ : Since $-16$ is not less than $-17$ , $x = -85$ is not a solution.
Substitute $x = -35$ : Step $3$ : Substitute $x = -35$ into the inequality $-16 < \frac{x}{5}$ . $\newline$ Calculate: $-16 < \frac{-35}{5}$ $\newline$ $-16 < -7$
Check $x = -35$ : Step $4$ : Since $-16$ is less than $-7$ , $x = -35$ is a solution.
Substitute $x = -130$ : Step $5$ : Substitute $x = -130$ into the inequality $-16 < \frac{x}{5}$ . $\newline$ Calculate: $-16 < \frac{-130}{5}$ $\newline$ $-16 < -26$
Check $x = -130$ : Step $6$ : Since $-16$ is not less than $-26$ , $x = -130$ is not a solution.

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