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Show that the statement : "For any real ...

Show that the statement : "For any real numbers a and b, `a^2=b^2` implies that `a=b`" is not true by giving a counter example.

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MAXIMUM PUBLICATION-MATHEMATICAL REASONING-EXAMPLE
  1. Write the contrapositive and converse of the following statement: yo...

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  2. Write the contrapositive and converse of the following statement: x ...

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  3. Show that the statement : "For any real numbers a and b, a^2=b^2 impli...

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  4. State whether the or used in the following statements is "exclusive" o...

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  5. State whether the or used in the following statements is "exclusive" o...

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  6. Show that the statement p:"If x is a real number such that x^3+4x=0 th...

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  7. Show that the statement p:"If x is a real number such that x^3+4x=0 th...

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  8. Show that the statement p:"If x is a real number such that x^3+4x=0 th...

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  9. Write the converse of the statement. p: If a divides b then b is a m...

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  10. Consider the compound statement. p: 2+2 is equal to 4 or 6 Write t...

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  11. Consider the compound statement. p: 2+2 is equal to 4 or 6 Is the ...

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  12. Verify by method of contradiction p:sqrt2 is irrational.

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  13. Write the negation of the following statement: every natural number ...

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  14. Write the contrapositive and converse of the following statement: If...

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  15. Write the component statement of the following statement: "All rationa...

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  16. Write the contrapositive and converse of the following statement: 'If ...

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  17. Write the negation of the statement:'the sum of 3 and 4 is 9.'

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  18. Write the component statements of 'Chandigarh is the capital of Haryan...

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  19. Write the converse of the statement:'If a number n is even, then n^2 i...

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  20. Write the negation of the statement. "both the diagonals of a rectangl...

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