Switching dircetion is just a shorthand way of moving stuff from one side to the other:
-4k > -36
add 4k to both sides:
0 > 4k-36
add 36 to both sides:
36 > 4k
or, as you saw above,
4k < 36
k < 9
multiplying and dividing by a negative value change the direction, just as moving stuff from one side to the other reverses the sense of the inequality.
The equation x^2 + k = 6 x has two distinct real roots. Find the range of values of k.
I know that you do
36 -4k > 0
-4k > -36
k < 9
But I don't get why you switch the signs. So. When do u switch signs
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