Question: s question: 1 point(s) possible Submit test Prove the following statement If x > 2, then x > 2. For Condition I of the Principle


s question: 1 point(s) possible Submit test Prove the following statement If x > 2, then x" > 2. For Condition I of the Principle of Mathematical Induction complete following Inequality. X" > 2 Does Condition I of the Principle of Mathematical Induction hold true for the given equation? O A. Yes, because the resulting statement is given. O B. No. because the resulting statement is false. O C. Yes, because the resulting statement is always true for any value of x. O D. No, because the resulting statement cannot be assumed to be true. Now, check whether Condition Il of the Principle of Mathematical Induction holds true. Assume the statement holds for some natural number k. * * >2 Check whether the statement holds true for the next natural number, k + 1. Note that x"> 2 and x > 2. Does Condition II of the Principle of Mathematical Induction hold true for the given equation? O A No, because xk > 2 and x> 2 cannot both be true. O B. Yes, because if xk > 2 Is true, then x* * 1 > 2 must be true. O C. No, because it cannot be assumed that x" > 2 is true. O D. Yes, because if x > 2 and x> 2 are both true, then x * > 2 must be true. Time Remaining: 01:47:32 Next
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