Recent questions and answers in Mathematical Reasoning

Write the statement "It is necessary to have a password to log on to the server." in the form if $p$ then $q$.

answered Aug 16, 2014 by rvidyagovindarajan_1

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Write the converse and contra positive of the statement "If it is hot outside then you feel thirsty."

answered Aug 16, 2014 by rvidyagovindarajan_1

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Write the converse and contra positive of the statement "I go to the beach whenever it is sunny day."

answered Aug 16, 2014 by rvidyagovindarajan_1

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Write the converse and contra positive of the statement "A positive integer is prime only if it has no divisors other than 1 and itself."

answered Aug 14, 2014 by rvidyagovindarajan_1

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Write the negation of the statement " There exists a number $x$ such that 0<$x$<1."

answered Aug 4, 2014 by rvidyagovindarajan_1

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Write the negation of the statement " For every real number $x$, either $x$ is >1 or <1."

answered Aug 4, 2014 by rvidyagovindarajan_1

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Write the negation of "All cats scratch."

answered Aug 4, 2014 by rvidyagovindarajan_1

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Write the negation of "For every positive real number $x$, the number $x+1$ is also positive."

answered Aug 4, 2014 by rvidyagovindarajan_1

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Write the negation of "For every positive real number $x$, the num ber $x+1$ is also positive."

asked Aug 4, 2014 by rvidyagovindarajan_1

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State whether the statement "$\sqrt {11}$ is a rational number." is true or false. Give reason.

answered Jul 29, 2014 by rvidyagovindarajan_1

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State whether the statement "If $x,\:y$ are integers such that $x>y$, then $-x<-y$" is true or false. Give reason.

answered Jul 29, 2014 by rvidyagovindarajan_1

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State whether the statement "Circle is a particular case of an ellipse." is true or false. Give reason.

answered Jul 29, 2014 by rvidyagovindarajan_1

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State whether the statement "The centre of a circle bisects each chord of the circle." is true or false. Give reason.

answered Jul 29, 2014 by rvidyagovindarajan_1

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State whether the statement "Each radius of a circle is a chord of the circle." is true or false. Give reason.

answered Jul 29, 2014 by rvidyagovindarajan_1

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By giving counter example show that the statement "The equation $x^2-1=0$ does not have a root lying between $0$ and $2$." is false.

answered Jul 29, 2014 by rvidyagovindarajan_1

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By giving counter example show that the statement "If all the angles of a triangle are equal then the triangle is an obtuse angled triangle" is not true.

answered Jul 29, 2014 by rvidyagovindarajan_1

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Show that the statement "If $x$ is an integer and $x^2$ is even, then $x$ is also even." using contrapositive method.

answered Jul 26, 2014 by rvidyagovindarajan_1

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

answered Jul 26, 2014 by rvidyagovindarajan_1

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Show that the statement " If $x$ is real number such that $x^3+4x=0$, then $x$ is 0." is true using contra positive method.

answered Jul 26, 2014 by rvidyagovindarajan_1

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Show that the statement " If $x$ is real number such that $x^3+4x=0$, then $x$ is 0." is true using contradiction method.

answered Jul 26, 2014 by rvidyagovindarajan_1

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Show that the statement " If $x$ is real number such that $x^3+4x=0$, then $x$ is 0." is true using direct method.

answered Jul 26, 2014 by rvidyagovindarajan_1

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For the statement "If a quadrilateral is a parallelogram then its diagonals bisect each other"' is the statement "If the diagonals of a quadrilateral bisecyt then it is a parallelogram" contra positive or converse?

answered Jul 22, 2014 by rvidyagovindarajan_1

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For the statement "If a quadrilateral is a parallelogram then its diagonals bisect each other"' is the statement "If the diagonals of a quadrilateral do not bisect then it is not a parallelogram" contra positive or converse?

answered Jul 22, 2014 by rvidyagovindarajan_1

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For the statement "If you live in Delhi then you have winter clothes.' is the statement "If you have winter clothes then you live in Delhi" contra positive or converse?

answered Jul 22, 2014 by rvidyagovindarajan_1

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For the statement "If you live in Delhi then you have winter clothes.' is the statement "If you do not have winter clothes then you do not live in Delhi" contra positive or converse?

answered Jul 22, 2014 by rvidyagovindarajan_1

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Write the statement "To get 'A' in the class it is necessary that you do all the exercises of the book." in 'if-then' form.

answered Jul 22, 2014 by rvidyagovindarajan_1

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Write the statement "A quadrilateral is a parallelogram if its diagonals bisect each other" in 'if-then' form.

answered Jul 22, 2014 by rvidyagovindarajan_1

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Write the statement " The banana tree will bloom if it stays warm for a month.' in 'if-then' form

answered Jul 22, 2014 by rvidyagovindarajan_1

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Write the statement "You get a job implies that your credentials are good" in 'if-than' form.

answered Jul 22, 2014 by rvidyagovindarajan_1

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Write the converse and contra positive statements of the statement "$x$ is an even number implies that $x$ is divisible by $4$.

answered Jul 21, 2014 by rvidyagovindarajan_1

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Write the converse and contra positive statements of the statement "You cannot comprehend geometry if you do not know how to reason deductively."

answered Jul 21, 2014 by rvidyagovindarajan_1

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Write the converse and contra positive statements of the statement "Something cold implies that it has low temperature."

answered Jul 21, 2014 by rvidyagovindarajan_1

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Write the converse and contra positive statement of the statement " If the two lines are parallel then they do not intersect in the same plane."

answered Jul 21, 2014 by rvidyagovindarajan_1

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Write the contrapositive and converse of the statement: "If $x$ is prime then $x$ is odd."

answered Jul 21, 2014 by rvidyagovindarajan_1

1 answer