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solve for a and graph the solution on the number line below. -25 > -2a …

Question

solve for a and graph the solution on the number line below. -25 > -2a - 5 > -29 answer attempt 1 out of 5 inequality notation: number line: click and drag to plot line

Explanation:

Step1: Add 6 to all parts of inequality

\[

$$\begin{align*} -25&>-3a - 6>-29\\ -25 + 6&>-3a-6 + 6>-29 + 6\\ -19&>-3a>-23 \end{align*}$$

\]

Step2: Divide all parts by - 3 and reverse inequality signs

\[

$$\begin{align*} \frac{-19}{-3}&<\frac{-3a}{-3}<\frac{-23}{-3}\\ \frac{19}{3}&

\]

Step3: Graph on number - line

On the number - line, mark open circles at $\frac{19}{3}\approx6.33$ and $\frac{23}{3}\approx7.67$ and shade the region between them.
In inequality notation: $\frac{19}{3}

Answer:

Inequality Notation: $\frac{19}{3}