Dr. Lal & Maurya Solutions for Chapter: Assigning Artificial Values to Arithmetical Digits and Signs, Exercise 1: Exercise

If,

α means greater than

β means equal to

θ means not less than

γ means less than

δ means not equal to

η means not greater than

Which one of the following could be a correct or proper inference, given the following-

$a \alpha 2b$ and $2b \theta r$

If,

α means greater than

β means equal to

θ means not less than

γ means less than

δ means not equal to

η means not greater than

Which one of the following could be a correct or proper inference, given the following-

$2x \eta y$ and $x \alpha o$

If,

α means greater than

β means equal to

θ means not less than

γ means less than

δ means not equal to

η means not greater than

Which one of the following could be a correct or proper inference, given the following-

$3x\theta 2y$ and $2y\beta 3z$

If the given interchanges are made in signs and numbers, which one of the four equations would be correct?
Given interchanges: Signs $+$ and $\times$ and Numbers $4$ and $5$:

If,

$\times$ for 'greater than' 
$\square$ for 'not less than' 
$÷$ for 'not equal to' 
$⌀$ for 'equal to' 
$+$ for 'not greater than' 
$∆$ for 'less than'

Then, If $a+b÷c$, it does not imply that:

If,

$\times$ for 'greater than'

□ for 'not less than'

$÷$ for 'not equal to'
$\varnothing$ for 'equal to'
$+$ for 'not greater than'
$∆$ for 'less than'
Then, If $a∆b∆c$, it does not imply that:

If
$\times$ for 'greater than'
□ for 'not less than'
$÷$ for 'not equal to'
$\varnothing$ for 'equal to'
$+$ for 'not greater than'
$△$ for 'less than'
Then, If $a+b+c$, it does not imply that:

If '$+$' means'$÷$', '$\times$' means '$-$', '$÷$' means '$\times$' and '$-$' means '$+$' then
$8+6\times 4÷3-4=?$