Final answer:
To solve the inequality 4(n-2) <= 2n-4, distribute 4 and then combine like terms to simplify the inequality. Divide both sides by 2 to solve for n. Any value of n less than or equal to 2 will make the inequality true.
Step-by-step explanation:
To solve the inequality 4(n-2) <= 2n-4, we need to find the values of n that make the inequality true. We can solve this by simplifying the inequality and solving for n.
Step 1: Distribute 4 to the terms inside the parentheses: 4n - 8 <= 2n - 4
Step 2: Combine like terms: 4n - 2n <= -4 + 8
Step 3: Simplify: 2n <= 4
Step 4: Divide both sides by 2 to solve for n: n <= 2
So, any value of n less than or equal to 2 will make the inequality true. Two possible sets of values that satisfy the inequality are n = 1 and n = 2.