Question
Solve and graph the solution set of $:2x – 9 \leq 7$ and $3x + 9 > 25, x \in I$
✓
Answer
$2 x-9 \leq 7 \text { and } 3 x+9>25 $
$2 x \leq 16 \text { and } 3 x>16 $
$x \leq 8 \text { and } x>5 \frac{1}{3}$
$\therefore$ Solutionset$=\left\{5 \frac{1}{3}< x \leq 8, x \in I\right\} = {6,7,8}$
The required graph on number line is
$2 x \leq 16 \text { and } 3 x>16 $
$x \leq 8 \text { and } x>5 \frac{1}{3}$
$\therefore$ Solutionset$=\left\{5 \frac{1}{3}< x \leq 8, x \in I\right\} = {6,7,8}$
The required graph on number line is
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