Solve 4x + 3 < 6x +7. - Vidyadip

Question

Solve 4x + 3 < 6x +7.

✓

Answer

We have,
4x + 3 < 6x + 7
$\Rightarrow$ 4x + 3 - 3 < 6x + 7 - 3
$\Rightarrow$ 4x < 6x + 4
$\Rightarrow$ 4x – 6x < 6x + 4 – 6x
$\Rightarrow$ – 2x < 4 or x > – 2
i.e., all the real numbers which are greater than –2, are the solutions of the given inequality.
Hence, the solution set is (–2, $\infty$).

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