1. The problem asks whether the solution $x < 4$ or $x > -2$ has no solution. 2. Let's analyze the inequality $x < 4$ or $x > -2$. 3. The inequality $x < 4$ means all values less than 4. 4. The inequality $x > -2$ means all values greater than -2. 5. The logical "or" means the solution set includes values that satisfy either $x < 4$ or $x > -2$. 6. Since $x < 4$ includes all numbers less than 4, and $x > -2$ includes all numbers greater than -2, their union covers all real numbers except possibly the values between -2 and 4. 7. But since the "or" is inclusive, any number less than 4 or greater than -2 is included, which actually covers all real numbers. 8. Therefore, the solution set is all real numbers, meaning there is a solution. 9. The statement "no solution" is false. Final answer: False