Set 17: Linear Inequalities

Choice A is correct. Choice A is the correct answer. Understanding solution sets means interpreting the inequality's meaning. 1. Solve: Subtract 4: $3x < 15$ 2. Complete: Divide by 3: $x < 5$ 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 $x < 5$ uses strict inequality, NOT including 5 itself (that would be $x \leq 5$). Choice D is incorrect because it misunderstands the problem, thinking 4 and 19 are boundaries when they're actually the constants in the inequality.