Final answer:
To solve the inequality 4(x - 3) - 2(x - 1) > 0, simplify the expression, isolate the variable x, and solve the inequality. The correct answer is x > 5.
Step-by-step explanation:
To solve the inequality 4(x - 3) - 2(x - 1) > 0, we need to simplify and isolate the variable x. The solution to the inequality 4(x - 3) - 2(x - 1) > 0 is found by expanding and simplifying to get 2x - 10 > 0, and then solving for x to find that x must be greater than 5.
First, distribute and simplify the terms:
4(x - 3) - 2(x - 1) > 0
4x - 12 - 2x + 2 > 0
2x - 10 > 0
Next, add 10 to both sides of the inequality:
2x > 10
Finally, divide both sides by 2 to solve for x:
x > 5
So, the correct answer is B. x > 5.