Solving for a Variable
\( 4(k-3) \geq 6(1-k) \)
Determining if the Point is a Solution
Graph the inequality in the coordinate plane.
\[
x \leq-2
\]
Quadratic Inequalities
The cost to produce $x$ units of wire is $C=45 x+450$, while the revenue is $R=70 x$. Find all intervals where the product will t least break even.
elect the correct choice below and, if necessary, fill in the answer box to complete your choice.
Rational Inequalities
For the function $h(x)=\frac{6 x}{(x+1)(x-2)}$, solve the following inequality.
\[
h(x)<0
\]
Select the correct choice below and fill in the answer box within your choice.
Converting from Interval to Inequality
Translate the sentence into an incquality.
The sum of a number times 5 and 28 is at least 18.
Use the variable $y$ for the unknown number.
Converting to Interval Notation
Translate and solve: 72 greater than $\mathrm{r}$ is less than -432 .
Give your answer in interval notation.
Provide your answer below:
Rewriting as a Single Interval
Solve the compound inequality.
\[
-5 x \leq-15 \text { or } 6 x-23 \geq 19
\]
Select the correct choice below and, if nece