Tag: mathematics and statistics

Identify the associative law of union.

Sum of $(267 + 345) + 21$ and $267 + (345 + 21)$ will be same.

The set of integers $Z$ with the binary operation $*$ defined as $a * b = a + b+ 1$ for $a, b, Z$ is a group. The identity element of this group is

If the binary operation $*$ is defined on a set of ordered pairs of real numbers as $(a, b) * (c, d) = (a \times d + b \times c, b \times d)$ and is associative, then $(1, 2) * (3, 5) * (3, 4)$ is equal to

The set of all real numbers under the usual multiplication operation is not a group since

$P\wedge (q \vee r)=(p\wedge q)\vee r$. This law is known as 

If * is defined on the set R of all real numbers by $a*b=\sqrt{a^2+b^2}$, find the identity element in R with respect to *.

Subtraction of integers is an operation that is

If $A={6,7,8,9}$ and $B={0,1,3,4,5}$, then $A \cap B$ is

If $\displaystyle M\cup N=N\cup R$ and $\displaystyle M\cap  N=N\cap R$  then which of the following is necessarily true?