Prove the following statement using a proof by cases.   [Hin…

Questions

Prоve the fоllоwing stаtement using а proof by cаses.   [Hint: there are 3 cases] “For all non-negative integers n ≤ 2, 2n ≤ 2n." Use good proof technique.   Grading rubric:1 pt. State any givens and assumptions.3 pt. Clearly identify the cases and prove each case.1 pt. State the final conclusion at the end of the proof. Note:  To avoid the need for typing superscript exponents, you may use the expression ‘2^n’ to represent 2n.  Also the ≤ symbol can be written as

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