We just started proofs in my mathematical structures class so this is the first time i am dealing with proofs.
The question i am having trouble proving is:
Suppose x is a real number and x 0. Prove that if then
This is what i have started:
Givens:
x is a real number
x
0
Goals:
i feel like to complete this proof you would solve the equation
for x and then this would show that whatever this value of x is, it will not be equal to 8.
The problem i am running into is that i cannot solve the equation
for x equaling a value, so i feel like i may be going about this wrong.
Any help / tips for proofs would be very great
Thank you