Solve the following linear inequations in R: 2x+3 5 -2< 3(x-2) 5 - Vidyadip

Question

Solve the following linear inequations in R:
$\frac{2\text{x}+3}{5}-2<\frac{3(\text{x}-2)}{5}$

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Answer

$\frac{2\text{x}+3}{5}-2<\frac{3(\text{x}-2)}{5}$
$\frac{2\text{x}+3-10}{5}<\frac{3\text{x}-6}{5}$
2x - 7 < 3x - 6
2x - 3x < -6 + 7
-x < 1
x > -1

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