Select the counterexample that makes this conjecture false:

For any real number x, if x2 ≥1, then x ≥1

A. x=1

B. x=1/4

C. x=2

D. x=-3

Question

Mathematics

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6 December, 19:10

Select the counterexample that makes this conjecture false:

For any real number x, if x2 ≥1, then x ≥1

A. x=1

B. x=1/4

C. x=2

D. x=-3

+2

Answers (1)

Know the Answer?

Abraham Mills · Answer 1

To answer this problem, we can directly substitute the following options to the given inequalities and check whether each of them makes the inequalities true or false. In this case, option B is only the option which makes the inequalities false since 1/16 is not greater than or equal to 1 and 1/4 is not greater than or equal to 1

Select the counterexample that makes this conjecture false:For any real number x, if x2 ≥1, then x ≥1A. x=1B. x=1/4C. x=2D. x=-3

Select the counterexample that makes this conjecture false:

For any real number x, if x2 ≥1, then x ≥1

A. x=1

B. x=1/4

C. x=2

D. x=-3