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

1.	Find the graphical solution of 4x -5 < 7,x is a real number.
Answer» $Given \: inequality \:4x-5 < 7 , \: x \:is \:a \\real \:number$ $4x - 5 < 7$ /* 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., $\green {Shaded \:region \: shows \: 4x - 5$ •••♪

Answer»

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