Solve $7 x + 3 < 5 x + 9.$
Show the graph of the solutions on number line.

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Solution

Given $7 x + 3 < 5 x + 9$

$\Rightarrow 7 x - 5 x < 9 - 3$

$\Rightarrow 2 x < 6$

$\Rightarrow x < \frac{6}{2}$

$\Rightarrow x < 3$

The graphical representation is

Here, $3$ is not included in the shaded graph.

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