Solve the inequality and mark the solution set on a number line.
$x^2(x − 3)(x + 4)^2 > 0$.

Find the number(s) $x$, if any, where $f$ takes on the value $1$ .
$f(x)=\frac{2}{\sqrt{x^2-5}}$.

Convert the degree measure into radian measure.
$225^{\circ}$.

Find the slope and $y$-intercept.
$3y = x + 6$.

Solve the inequality. Express the solution as an interval or as the union of intervals. Mark the solution on a number line.
$\frac{x+1}{(x+2)(x-2)}>0$.

Prove that all sets with $n$ elements have $2^n$ subsets. Count the empty set $\emptyset$ and the whole set as subsets.

Evaluate
$|6|$.

Replace the symbol $\ast$ by $<$, $>$, or $=$ to make the statement true.
$\pi \ast \frac{22}{7}$.

Determine the domain of the function and sketch the graph.
$f(x)=x+\frac{1}{x}$.

Find the slope and $y$-intercept.
$6 − 5x = 0$.

Solve the inequality and mark the solution set on a number line.
$x^2 − 4x + 4 \le 0$.

Solve the inequality. Express the solution as an interval or as the union of intervals. Mark the solution on a number line.
$x\left(x^2-3 x+2\right) \leq 0$.

Prove that the sum of the interior angles in an $N$-sided convex polygon is $(N-2) 180^{\circ}$. Take $N>2$.

Find the number(s) $x$, if any, where $f$ takes on the value $1$ .
$f(x)=4+10x-x^2$.