Question
Solve the following linear inequations in R:
x + 5 > 4x - 10

Answer

x + 5 > 4x - 10
⇒ x - 4x > -10 - 5
⇒ -3x > -15
⇒ 3x < 15
$\Rightarrow\text{x}<\frac{15}{3}=5$
⇒ x < 5
$\therefore(-\infty,5)$ is the solution set.

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