Solve the given inequality and show the graph of the solution on number line: 5x – 3 ≥ 3x – 5

Question:

Solve the given inequality and show the graph of the solution on number line: $5 x-3 \geq 3 x-5$

Solution:

$5 x-3 \geq 3 x-5$

$\Rightarrow 5 x-3 x \geq-5+3$

$\Rightarrow 2 x \geq-2$

$\Rightarrow \frac{2 x}{2} \geq \frac{-2}{2}$

$\Rightarrow x \geq-1$

The graphical representation of the solutions of the given inequality is as follows.

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