Prove the contrapositive
Posted: Wed Jul 06, 2022 11:58 am
Prove the contrapositive
Let f(x) and g(x) be two real value functions. Let A be a subset of R. Prove: if f(x) ≥ g(x) for all x € A, then f(x)³ + f(x) ≥ g(x)³ + g(x) for all x € A.
Let x E R. Prove: If x < 5 and x ≥ −3, then (x-6)³ +1 <0.
Let f(x) and g(x) be two real value functions. Let A be a subset of R. Prove: if f(x) ≥ g(x) for all x € A, then f(x)³ + f(x) ≥ g(x)³ + g(x) for all x € A.
Let x E R. Prove: If x < 5 and x ≥ −3, then (x-6)³ +1 <0.