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Solve for $x$ and graph the solution on the number line below. $\newline$ $2x > -12$ $\newline$ Answer Attempt $1$ out of $2$ $\newline$ $<$ $\geq$ $2$ $\leq$ or $\newline$ Inequality Notation: $\newline$ Number Line:

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Estimate quotients when dividing mixed numbers

Full solution

Q. Solve for

x

and graph the solution on the number line below.

\newline

2x > -12

\newline

Answer Attempt

1

out of

2

\newline

<

\geq

2

\leq

or

\newline

Inequality Notation:

\newline

Number Line:

Isolate x by dividing: First, we need to isolate x by dividing both sides of the inequality by $2$ . This will give us the solution for x. $\newline$ Calculation: $\frac{2x}{2} > \frac{-12}{2}$
Calculate $x > -6$ : After dividing both sides by $2$ , we get $x > -6$ . This is the solution to the inequality.
Graph the solution: Now we need to graph the solution on the number line. Since the inequality is 'greater than' and not 'greater than or equal to', we will use an open circle to indicate that $-6$ is not included in the solution set.
Indicate numbers greater than $-6$ : We then draw a line to the right of $-6$ to indicate that all numbers greater than $-6$ are included in the solution set.

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