Question
Solve and graph the solution set on a number line : $5x + 4 > 8x – 11 ; x \in Z$
✓
Answer
$5 x+4>8 x-11$
$\Rightarrow 5 x-5 x+4>8 x-5 x-11..($Subtracting $5 x$ from both sides$)$
$\Rightarrow 4>3 x-11$
$\Rightarrow 4+11>3 x-11+11...($Adding $11$ to both sides$)$
$\Rightarrow 15>3 x$
$\Rightarrow \frac{15}{3}>\frac{3 \mathrm{x}}{3} \ldots ($Dividing both sides by $3 )$
$\Rightarrow 5>x$
$\therefore$ The required graph is:
$\Rightarrow 5 x-5 x+4>8 x-5 x-11..($Subtracting $5 x$ from both sides$)$
$\Rightarrow 4>3 x-11$
$\Rightarrow 4+11>3 x-11+11...($Adding $11$ to both sides$)$
$\Rightarrow 15>3 x$
$\Rightarrow \frac{15}{3}>\frac{3 \mathrm{x}}{3} \ldots ($Dividing both sides by $3 )$
$\Rightarrow 5>x$
$\therefore$ The required graph is:
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