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Q1. Which of the following inequalities represents the solution to x + 4 > 2?
Solution:
Subtract 4 from both sides: x > -2.
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Q2. Which of the following is the correct factorization of x^2 + 7x + 10?
Solution:
The polynomial factors to (x + 5)(x + 2) since 5 and 2 add to 7 and multiply to 10.
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Q3. What is the solution set for the equation 4x + 1 = 2x + 5?
Solution:
Subtract 2x from both sides: 2x + 1 = 5. Then subtract 1: 2x = 4. Finally, divide by 2: x = 2.
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