9. Inequalities and Absolute Value

Given $A=\{2,4,6,8\}$, $B=\{4,8,12,16\}$, $C=\left\{8\right\}$, find the following:

(A) $A\cap C$

Given $A=\{2,4,6,8\}$, $B=\{4,8,12,16\}$, $C=\left\{8\right\}$, find the following:

(B) $A\cup B$

Given $A=\{2,4,6,8\}$, $B=\{4,8,12,16\}$, $C=\left\{8\right\}$, find the following:

(C) $C\cap \varphi$

Solve the compound inequality. Express the answer in interval notation.

(A) $-3x+1\le 4$ and

Solve the compound inequality. Express the answer in interval notation.

(B) $x+1\le 9$ and $x+2>3$

Solve the compound inequality. Express the answer in interval notation.

(A) $\frac{x}{3}>2$ or

Solve the compound inequality. Express the answer in interval notation.

(B) $2x-3\le 1$ or $-x+4\le 10$