So we need to see which answer choice solves to get that inequality.
Let's go through each choice one by one
------------------- Choice A x/5 - 6 > -4 x/5 - 6+6 > -4+6 x/5 > 2 5*(x/5) > 5*2 x > 10 So we found the answer on the first try. Let's see what the other answer choices say. ------------------- Choice B x/5 - 5 > 45 x/5 - 5+5 > 45+5 x/5 > 50 5*x/5 > 5*50 x > 250 This can be eliminated ------------------- Choice C x/5 - 6 < -4 x/5 - 6+6 < -4+6 x/5 < 2 5*x/5 < 5*2 x < 10 This is close to choice A, but the inequality sign has been flipped This choice can be eliminated ------------------- Choice D x/5 + 5 > -45 x/5 + 5-5 > -45-5 x/5 > -50 5*x/5 > 5*(-50) x > -250 This answer choice can be eliminated ------------------- Choice A is the only answer.
