Solve and identify the solution set:
All real numbers less than 5
All real numbers greater than 5
All real numbers less than or equal to 5
All real numbers between 4 and 19
Correct Answer: A
Choice A is the correct answer. Understanding solution sets means interpreting the inequality's meaning.
- Solve: Subtract 4:
- Complete: Divide by 3:
- Interpret: ALL values less than 5 (like 4.9, 0, -100, etc.)
?�� Strategic Tip: Solution sets for linear inequalities include infinitely many values, not just integers.
Choice B is incorrect because it reverses the direction to "greater than" instead of "less than". Choice C is incorrect because uses strict inequality, NOT including 5 itself (that would be ). Choice D is incorrect because it misunderstands the problem, thinking 4 and 19 are boundaries when they're actually the constants in the inequality.