Question:
x + 5 > 4x − 10
Solution:
We have, $x+5>4 x-10$
$\Rightarrow 5+10>4 x-x$ (Transposing $x$ to the RHS and $-10$ to the LHS)
$\Rightarrow 15>3 \mathrm{x}$
$\Rightarrow 3 x<15$
$\Rightarrow x<5 \quad$ (Dividing both sides by 3 )
$\Rightarrow x \in(-\infty, 5)$
Hence, the solution set of the given inequation is $(-\infty, 5)$.
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