Question

\[\frac{5x}{2} + \frac{3x}{4} \geq \frac{39}{4}\]

Answer 1

\[\frac{5x}{2} + \frac{3x}{4} \geq \frac{39}{4}\]
\[ \Rightarrow \frac{10x + 3x}{4} \geq \frac{39}{4}\]
\[ \Rightarrow 10x + 3x \geq 39\]
\[ \Rightarrow 13x \geq 39\]
\[ \Rightarrow x \geq \frac{39}{13} (\text{ Dividing both the sides by } 13)\]
\[ \Rightarrow x \geq 3\]
\[\text{ Hence, the solution set of the given inequation is } [3, \infty ) .\]