For an integer $n$ let $S_n=\{n+1, n+2, \ldots \ldots, n+18\}$. Which of the following is true for all $n \geq 10$ ?
$S_n$ has a multiple of $19$
$S_n$ has a prime
$S_n$ has at least four multiples of $5$
$S_n$ has at most six primes
If $A = \{ 1,\,2,\,3,\,4,\,5\} ,$ then the number of proper subsets of $A$ is
Write the following sets in roster form :
$D = \{ x:x$ is a prime number which is divisor of $60\} $
What universal set $(s)$ would you propose for each of the following :
The set of right triangles
Write the following sets in roster form :
$B = \{ x:x$ is a natural number less than ${\rm{ }}6\} $
Let $A=\{1,2,\{3,4\}, 5\} .$ Which of the following statements are incorrect and why ?
$\{ 3,4\} \in A$