2
algebra

Solve and identify the solution set: 3x+4<193x + 4 < 19

A

All real numbers less than 5

B

All real numbers greater than 5

C

All real numbers less than or equal to 5

D

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.

  1. Solve: Subtract 4: 3x<153x < 15
  2. Complete: Divide by 3: x<5x < 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 becausex<5x < 5 uses strict inequality, NOT including 5 itself (that would be x5x \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.