solve for h and graph the solution. -3 ≤ (4h + 11)/3

Question

solve for h and graph the solution. -3 ≤ (4h + 11)/3 < 5 plot the endpoints. select an endpoint to change it from closed to open. select the middle of a segment, ray, or line to delete it.

Accepted Answer

# Explanation:
## Step1: Multiply all parts by 3
$$
\begin{align*}
-3\times3&\leq\frac{4h + 11}{3}\times3<5\times3\
-9&\leq4h + 11<15
\end{align*}
$$
## Step2: Subtract 11 from all parts
$$
\begin{align*}
-9-11&\leq4h+11 - 11<15 - 11\
-20&\leq4h<4
\end{align*}
$$
## Step3: Divide all parts by 4
$$
\begin{align*}
\frac{-20}{4}&\leq\frac{4h}{4}<\frac{4}{4}\
- 5&\leq h<1
\end{align*}
$$
# Answer:
The solution for $h$ is $-5\leq h<1$. On the number - line, we plot a closed circle at $-5$ (because the inequality includes equality for this end - point) and an open circle at $1$ (because the inequality is strict for this end - point), and draw a line segment connecting them.

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QUESTION IMAGE

Question

Explanation:

Step1: Multiply all parts by 3

Step2: Subtract 11 from all parts

Step3: Divide all parts by 4

Answer: