3
algebra

Solve for xx: 5x2(x3)<185x - 2(x - 3) < 18

A

x<4x < 4

B

x>4x > 4

C

x<8x < 8

D

x>8x > 8

Correct Answer: A

Choice A is the correct answer. Combining like terms after distribution simplifies the inequality.

  1. Distribute: 5x2x+6<185x - 2x + 6 < 18 (note: 2(x3)=2x+6-2(x-3) = -2x + 6)
  2. Combine like terms: 3x+6<183x + 6 < 18
  3. Subtract 6: 3x<123x < 12
  4. Divide by 3: x<4x < 4

?�� Strategic Tip: When distributing 2(x3)-2(x-3), remember both terms get multiplied: 2x-2x and 2(3)=+6-2(-3) = +6.

Choice B is incorrect because it reverses the inequality without mathematical reason. Choice C is incorrect because it might skip combining like terms properly (5x - 2x). Choice D is incorrect because it combines wrong value and wrong direction.