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Question

Mathematics Question on Algebraic Solutions of Linear Inequalities in One Variable and their Graphical Representation

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

Answer

5x – 3 ≥ 3x – 5
⇒ 5x -3x ≥ -5 + 3
⇒ 2x ≥ -2
⇒2x2≥−22⇒ \frac{2x}{2} ≥ \frac{-2}{2}
⇒ x ≥ -1
The graphical representation of the solutions of the given inequality is as follows.

inequality graph