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Show that the following statement is true by the method of contrapositive:If x Is an integer and `x^2`is even,then x is also even"

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Show that that the following statement are true by the method of contapositive. p:If x is an integer and x^2 is even ,then x is also even.

Write the converse of the following statements.. If x is an integer and x^2 is even, then x is also even.

Check whether the following statement is true or false by proving its contrapositive. 'If x,y are integers such that xy is odd, then both x and y are odd integers'.

Write down the contrapositive of the following " if ………., then ……" implications : If x is an integer and x^(2) is even then x is even .

Check whether the following statement is true or false by proving its contrapositive. If x, y in Ζ such that xy is odd, then both x and y are odd.

Check the validity of the following compound statement using (i) direct method contrapositive method and (iii) contradiction method If x is a real number such that 4x^(3)+3x=0, " then" x=0

Prove that the following biconditional compound statement is true : The integer x is even if and only if x^(2) is even .

Check whether the follwing compound statements is true or false . If a and b are odd integers , then (a +b) is an even integer .

Using contrapositive method show tha the compund statement .is true or not. If x and y are odd integers,'then xy is also a odd integer.

Using contrapositive method show that the following statement is true. If x is a real number such that x^3=-4x then x = 0.

UNITED BOOK HOUSE-ANNUAL EXAMINATION QUESTION PAPERS 2014-EXERCISE
  1. In the expansion of (root(3)(2)+1/root(3)(3))^nthe rationof the 7th te...

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  2. If the sum of sirst n terms of a G.P is p.sum of its first 2n terms is...

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  3. The equations of two sides of a square are 5x+12y-10=0 and 5x+12y+29=0...

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  4. If the straight line x/a+y/b=1is parallel to the line 4x+3y=6 and pas...

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  5. Find the equations of the circles which pass through the origin and cu...

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  6. Evaluate:lim(xrarr0)(sin(x^2+4x))/(x^3-5x^2+2x)

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  7. Find from the first principle,the derivative of tan 2x at x=pi/8

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  8. Show that the following statement is true by the method of contraposit...

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  9. Prove the following by contradiciton ."The sum of a rational and an ir...

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  10. What is the probability that a year,selected at random,in between 2001...

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  11. For a group of 200 students the mean and S.D of marks obtained by them...

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  12. Prove thatcos^2alpha+cos^2(120^@-alpha)+cos^2(120^@+alpha)=3/2

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  13. Prove that tan70^(@)=2tan50^(@)+tan20^(@).

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  14. Draw the structure of the following: SF4

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  15. state the fundamental theorm of algebra and solve the equation 3x^2-5i...

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  16. How many numbers lying between 100 and 1000 can be formed with the dig...

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  17. If S1,S2...Smdenote the sums of n terms of m numbers of A.P is whose f...

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  18. Prove that the least focal chord of a parabolaa is it rectum.

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  19. Find the equation of a hyperbola having coodinates of its vertices (+-...

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  20. Find the equation of an ellipse whose eccentricity is 1/2,coordinates ...

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