Question

find the graphical solution of 4x -5 < 7,x is a real number.

Answer 1

$Given \: inequality \:4x-5 < 7 , \: x \:is \:a \\real \:number$

$4x - 5 < 7$

/* Add bothsides by 5 , we get */

$\implies 4x - 5 + 5 < 7 + 5$

$\implies 4x < 12$

/* Dividing each term by 3 , we get */

$\implies x < 3\: --(1)$

$Draw \: x = 3 \: on \:the \: graph \:sheet$

$We \: know \: that \: x < 3 , Now , shade \:the \\which \: shown \: in \:the \:graph$

Therefore.,

$\green {Shaded \:region \: shows \: 4x - 5 <7}$

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