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Q1. Which of the following is the solution set for the inequality x^2 - 4 > 0?
Solution:
Factor: (x - 2)(x + 2) > 0. The solution is x < -2 or x > 2.
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Q2. Which of the following is the result of factoring x^2 + 5x + 6?
Solution:
The polynomial factors to (x + 2)(x + 3) since 2 and 3 multiply to 6 and add to 5.
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Q3. What is the solution to the equation 5x + 2 = 3x + 10?
Solution:
Step 1: Subtract 3x from both sides: 2x + 2 = 10. Step 2: Subtract 2 from both sides: 2x = 8. Step 3: Divide by 2: x = 4.
