Embibe Experts Solutions for Exercise 5: Assignment

$A=\left\{\varphi ,\left\{\varphi \right\}\right\}$, then $P\left(A\right)$ is

$A=\left\{\left(x,y\right):x,y\in I,x\ge 0,y\ge 0 \mathrm{and} 4x+5y\le 40\} \right\}$

$B=\left\{\left(x,y\right):x,y\in I,x\ge 0,y\ge 0 \mathrm{and} 5x+4y\le 40\right\}$

where $I$ denotes set of integers, then $n\left(A\cap B\right)=$

In a battle, $70\%$ of the combatants lost one eye, $80\%$ lost one leg, $85\%$ lost ear, $90\%$ an arm. If $x\%$ lost all the four organs, then minimum value of $x$

$\left|X\right|$ represent number of elements in region $X$. Now the following conditions are given $\left|U\right|=14,\left|{\left(A-B\right)}^C\right|=12,\left|A\cup B\right|=9$ and $\left|A\Delta B\right|=7$, where $A$ and $B$ are two subsets of the universal set $U$ and $A^C$ represents complement of $set A$, then

If $S$ is the set of all real $x$ such that $\frac{2x-1}{2x^3+3x^2+x}$ is positive, then $S$ contains

For any three sets. $P, Q$ and $R, S$ is an element of $\left(P\Delta Q\right)\Delta R$, then $S$ may belong to

The interval for the values of '$x$' satisfying $\frac{2x}{2x^2+5x+2}>\frac{1}{x+1}$ can be

If the inequality $\left(x-\left(a-1\right)\right)\left(x-\left(a^2+2\right)\right)<0$ holds for all $x\in \left(-1,3\right]$ then correct statement(s) is (are)