Question

Write the truth value of the square of any even number is odd or the cube of any odd

number is odd​

Answer 1

$\underline { \pink { Truth \: Table \: of \: P V Q}}$

$P V Q \: is \:true \: if \: either \: P \: is \: true \:\red{or} \\Q \: is \: true . It's \:only\: false \: if \:both\\P \: and \: Q \: are \: false.$

$\begin {tabular} {|c|c|c| }</p><p>\cline {1-3} P& Q & PVQ \\</p><p>\cline {1-3} T&T&T \\</p><p>\cline {1-3} T&F&T \\</p><p>\cline {1-3} F&T& T \\</p><p>\cline {1-3} F&F& F \\</p><p>\cline {1-3} </p><p>\end {tabular}$

$i) Let \: statement \: P :$

$\blue {The \: square \:of \: any \: even }\\\blue { number\: is \: odd }$

$\blue { P } \: is \: \red{ False }$

$ii) Let \: statement \: Q :$

$\blue {The \: cube \:of \: any \: odd }\\\blue { number\: is \: odd }$

$\blue { Q } \: is \: \green{ True }$

$\therefore \orange {Truth \: value \:of \: P V Q }\\ is \: \green { ( True ) }$

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