7
algebraWhich compound inequality has NO solution?
A
and
B
or
C
and
D
or
Correct Answer: A
Choice A is the correct answer. Analyze the logic of "and".
- Condition: A number must be less than 3 AND greater than 5 simultaneously.
- Logic: No number exists that satisfies both. The sets are disjoint.
- Result: Empty set (No solution).
?�� Strategic Tip: "And" requires overlap. If the arrows point away from each other with a gap, there is no overlap.
Choice B is incorrect because "Or" allows disjoint sets (this is a valid inequality). Choice C is incorrect because numbers like 4 satisfy this (). Choice D is incorrect because this covers all real numbers (overlapping rays).