I need help trying to figure out how I can prove a statement like this. So looking at this I can conclude that this statement is of the form $P \Rightarrow Q$
$$ P: x^4 + 5x + 1 < 27 $$ $$ Q: x < 2 $$
I wanted to try and prove this by contrapositive , so this state would become
If $X \geq 2$ then $x^4 + 5x + 1 \geq 27$
Over here I was not sure if I could plug in the value 2 or anythin greater than 2 to see if this is true. plugging in 2 gets me $2^4 + 5 \times 2 + 1 = 27$ and since $27 \geq 27$ this statement is True.
Am I allowed to prove it like this? Is there a different way to prove a question like this?