Question

question 3. given the function f(x) = -3x + 12, find the x values when f(x) < 0
a. x < 4
b. x > 4
c. x ≥ 4
d. x > 12

Explanation:

Step1: Substitute f(x)

Substitute \( f(x) = -3x + 12 \) into \( f(x) < 0 \), we get \( -3x + 12 < 0 \).

Step2: Solve the inequality

Subtract 12 from both sides: \( -3x < -12 \).
Divide both sides by -3 (remember to reverse the inequality sign): \( x > 4 \).

Answer:

B. \( x > 4 \)