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3. Prove using a proof by exhaustion. For every integer n such that 0 ? n < 2, 2^(n+2) > 3^n. 4. Find a counterexample to show that it is false. If n is an integer and n² is divisible by 4, then n is divisible by 4. 5. Prove by cases: For a real number x, |x| ? x.

          3. Prove using a proof by exhaustion.
For every integer n such that 0 ? n < 2, 2^(n+2) > 3^n.
4. Find a counterexample to show that it is false.
If n is an integer and n² is divisible by 4, then n is divisible by 4.
5. Prove by cases: For a real number x, |x| ? x.

3. Prove using a proof by exhaustion.
For every integer n such that 0 ? n < 2, 2^(n+2) > 3^n.
4. Find a counterexample to show that it is false.
If n is an integer and n² is divisible by 4, then n is divisible by 4.
5. Prove by cases: For a real number x, |x| ? x.

Added by Lisa S.

Computer Science and Information Technology

Trishna Knowledge Systems 2018 Edition

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Prove using a proof by exhaustion: For every integer n such that 0 < n < 2, 2^(n+2) > 3^n. To prove this statement using a proof by exhaustion, we need to consider all possible values of n between 0 and 2 and show that the inequality holds true for each Show more…

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Prove using a proof by exhaustion: For every integer n such that 0 < n < 2, 2^(n+2) > 3^n. Find a counterexample to show that it is false: If n is an integer and n is divisible by 4, then n is divisible by 4. Prove by cases: For a real number x, |x| â‰¤ x.