Department of Pre-University Education, KarnatakaPUC Karnataka Science Class 11

# X + 5 > 4x − 10 - Mathematics

x + 5 > 4x − 10

#### Solution

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

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#### APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 15 Linear Inequations
Exercise 15.1 | Q 5 | Page 10