Precalculus Chapter 3 Quiz

If $a < b$ and $0 > c$, then $ac = bc$.

If $|x - 2| < 3$, then the distance from $x$ to 2 is less than 3.

A polynomial changes sign at each of its zeros.

If a line has equation $y = mx + k$, any point $(x, y)$ below the line satisfies the inequality $y > mx + k$.

If a linear expression $P = Ax + By$ is evaluated for all points of a convex polygonal feasible region, the maximum and minimum values (if they exist) will occur at a corner point.

Solve and graph the inequality.

$\frac{5 - 4x}{2} < -3x$

Solve and graph the inequality.

$|x - 4| < 3$

$3x - 2y > 4$

$y > x^2 - 9$

$y < x^3 - x^2 - 9x + 9$

Graph the solution set of the system of inequalities:

$x \ge 0$

$2x+y \ge 4$

Graph the solution set of the system of inequalities:

$y < x$

$y \ge x^2 -1$

Challenge

Solve: $\frac{|x|}{x - 2} < 2$