4
algebra

Solve: 5x32+4<9\frac{5x - 3}{2} + 4 < 9

A

x<1x < 1

B

x>1x > 1

C

x<2.6x < 2.6

D

x>2.6x > 2.6

Correct Answer: C

Choice C is the correct answer. Clear the fraction first, then solve systematically.

  1. Subtract 4: 5x32<5\frac{5x-3}{2} < 5
  2. Multiply by 2: 5x3<105x - 3 < 10
  3. Add 3: 5x<135x < 13
  4. Divide by 5: x<135=2.6x < \frac{13}{5} = 2.6

?�� Strategic Tip: Multiplying both sides by a positive number (like 2) doesn't change inequality direction.

Choice A is incorrect because it likely comes from incorrect arithmetic when combining constants. Choice B is incorrect because it reverses the direction without justification. Choice D is incorrect because it combines wrong direction with the correct value.