I need help solving x/-9 ≥ 3

Question

Hi this question is on khan academy and I can't figure the answer out, please help figure what x is.

Answer 1

Answer 2

Answer: x<= -27

Rule is you need to flip the sign when multiplying negative numbers.

If you multiply both sides by -9 you get x>= -27.

But ask yourself what is > -27 -----> ie -26, -25, -24 etc but if you plug those numbers in the equation, this will not be true (-26/-9 = ~ 2.89.....smaller than 3). Because of this you need plug in anything thats LESS than -27, ie -28, -29, -30 so it can be >= 3. Hope that makes sense!

Answer 3

x/-9 > 3

multiply both sides by -9, which reverses the direction of the inequality

whenever you multiply by a negative number, the inequality reverses

x/-9 times -9 = x. 3 times -9 = -27

x < -27