📘 algebra, set theory

1. Problem 226: Find how many integers satisfy $$\frac{(x+2)(x+3)}{x-2} \geq 0$$ and are less than 5. 2. Step 1: Identify critical points where numerator or denominator is zero: $$

1. **Solve the equation:** $$3^{2x} - 4(3^x) - 3 = 0$$ Step 1: Let $$y = 3^x$$, then the equation becomes:

**Problem 1:** Simplify the expression $3\sqrt{50} + 2\sqrt{18} - \sqrt{32}$. 1. Start by simplifying each square root.

1. **State the problem:** Given sets and functions: