Choice A is the correct answer. Distributing negative coefficients requires careful sign tracking.

1. Distribute: $-2(3x) - 2(-4) \leq 10$, giving $-6x + 8 \leq 10$
2. Subtract 8: $-6x \leq 2$
3. Divide by -6: $x \geq -\frac{2}{6} = -\frac{1}{3}$ (REVERSE!)

?�� Strategic Tip: When distributing a negative, every term inside changes sign. Then dividing by negative reverses the inequality.

Choice B is incorrect because it fails to reverse the inequality when dividing by -6. Choice C is incorrect because it has the wrong sign on the fraction (should be negative). Choice D is incorrect because it combines wrong sign and wrong direction.