3.1 Solve for \( x \) in the following equation: \[ \begin{array}{l}\frac{2}{x}=\frac{3}{x-2} \\ 3.2 \text { Given that: }\left(x^{2}-3 x-10\right)\left(9^{2 y-3}-81\right)=0 \\ \text { Solve for } x \text { and } y . \\ 3.3 \\ \begin{array}{l}\text { Solve for } x \text { and } y \text { simultaneously in the following equations: } \\ x+y=8 \\ 3 x+2 y\end{array}\end{array} \]

Solve the following equations and inequalities analytically. Support your solutions graphically. \( \begin{array}{lll}\begin{array}{ll}\text { (a) }|2 x+1|+3=5 & \text { (b) }|2 x+1|+3 \leq 5 \\ \text { (c) }|2 x+1|+3 \geq 5\end{array} \\ \text { A. The solution set is the finite set of real numbers }\{ \\ \text { (a) Find the solution for }|2 x+1|+3=5 \text {. Select the correct choice below, and fill in the } \\ \text { answer box if necessary. } \\ \text { expression. Use a comma to separate answers as needed.) } \\ \text { B. The solution set is the interval } \square \text {. } \\ \text { (Type your answer in interval notation. Use integers or fractions for any } \\ \text { numbers in the expression.) } \\ \text { C. The solution set is } \varnothing \text {. }\end{array} \).

5) Sea una función lineal cuya gráfica pasa por los puntos \( (6,3) \) y \( (-2,-1) \). a) Determine la función b) ¿Cuál es el valor de \( f(-3) \) y de \( f(8) \) ? c) ¿Es creciente o decreciente?

b. Two consecufive number are sucl that the sum of thrice the smaller and twice the larger is 17. Find, correct to three significant figures the smaller number as a percen - tage of the sum of the. two numbers.

A. \( 4 x^{2} y\left(x z^{2}+5 w x y+3\right) \).

23. Reasoning Twenty of the students in Hannah's class, or \( 80 \% \) of the class, voted to have pizza fol lunch every Wednesday. How many students are in Hannah's class?