Question

Can anybody please help explain how to solve this?

Answer 1

If the graph looks like this, then the inequality would be:
(x-1)(x-5)>=0
which translates to
x^2-6x+5 >=0
Even though it does not match any of the answers, a little transformation will convert it to one of the answers. Can you spot it?

Answer 2

Hmm... is B the answer?

Answer 3

Right on!

Answer 4

We multiply x^2-6x+5 >=0 by -1 to get
-x^2+6x-5 <=0
the inequality sign is reversed whenever we multiply an inequality by a negative number.

Answer 5

Thank you so much!!!

Answer 6

yw