Multiple choice

Let x denote a real number. Find out the INCORRECT statement from the following, where a and b are real numbers.

  1. S = {x : x > 3} represents the set of all real numbers greater than 3.

  2. S = {x : x2 < 0} represents the empty set.
  3. S = {x : x $\in$A and x $\in$ B} represents the union of set A and set B.

  4. S = {x : a < x < b} represents the set of all real numbers between a and b.
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

$\text{The incorrect statement is, S={$x : x\in \text{A and $x$}\in B$} represents the union of set A and set B.}\\ \text{The above symbol $(\in)$ denotes intersection of set A and set B. Therefore this statement is incorrect.}$

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