Question
Solve and graph the solution set on a number line : $8x – 9 > 35 – 3x ; x \in N$
✓
Answer
$8 x-9 \geq 35-3 x$
$ \Rightarrow 8 x+3 x-9 \geq 35-3 x+3 x \ldots($Adding $ 3 x$ to both $s)$
$ \Rightarrow 11 x-9 \geq 35$
$ \Rightarrow 11 x-9+9 \geq 35+9 ($Adding $9$ to both sides $)$
$ \Rightarrow 11 x \geq 44$
$ \Rightarrow \frac{11 x}{11} \geq \frac{44}{11} ...($Dividing both side by $11)$
$ \Rightarrow x \geq 4...($Adding $3 x$ to both sides$)$
$\therefore$ The required graph is :
$ \Rightarrow 8 x+3 x-9 \geq 35-3 x+3 x \ldots($Adding $ 3 x$ to both $s)$
$ \Rightarrow 11 x-9 \geq 35$
$ \Rightarrow 11 x-9+9 \geq 35+9 ($Adding $9$ to both sides $)$
$ \Rightarrow 11 x \geq 44$
$ \Rightarrow \frac{11 x}{11} \geq \frac{44}{11} ...($Dividing both side by $11)$
$ \Rightarrow x \geq 4...($Adding $3 x$ to both sides$)$
$\therefore$ The required graph is :
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