Write the following as intervals :

 $\{ x:x \in R, - 4\, < \,x\, \le \,6\} $

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$\{ x:x \in R, - 4\, < \,x\, \le \,6\}  = ( - 4,6]$

Similar Questions

State which of the following sets are finite or infinite :

$\{ x:x \in N$ and $x$ is prime $\} $

Match each of the set on the left described in the roster form with the same set on the right described in the set-builder form:

$(i)$  $\{ P,R,I,N,C,A,L\} $ $(a)$  $\{ x:x$ is a positive integer and is adivisor of $18\} $
$(ii)$  $\{ \,0\,\} $ $(b)$  $\{ x:x$ is an integer and ${x^2} - 9 = 0\} $
$(iii)$  $\{ 1,2,3,6,9,18\} $ $(c)$  $\{ x:x$ is an integer and $x + 1 = 1\} $
$(iv)$  $\{ 3, - 3\} $ $(d)$  $\{ x:x$ is aletter of the word $PRINCIPAL\} $

 

Let $A, B,$ and $C$ be the sets such that $A \cup B=A \cup C$ and $A \cap B=A \cap C$. Show that $B = C$

State which of the following sets are finite or infinite :

$\{ x:x \in N$ and ${x^2} = 4\} $

Which of the following are sets ? Justify your answer.

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