Solve the inequality 4 - 2x > 12.

• A. x > -4
• B. x < -4
• C. x ≤ -4
• D. x ≥ -4

Answer: (B)

Solving linear inequalities hinges on isolating the variable and remembering that dividing by a negative number flips the inequality sign. Start with 4 - 2x > 12. Subtract 4 from both sides to get -2x > 8. Divide by -2 (a negative), which flips the sign, giving x < -4. Any number smaller than -4 makes the original expression exceed 12, for example x = -5 yields 4 - 2(-5) = 14 > 12, while x = -3 gives 10, which is not greater than 12. So the solution is x < -4.