[ 5x 2 + 3x 2 ≥ 39 4 #160;; ⇒ 10x+3x 4 ≥ 39 4 #160;; ⇒ 13x≥ 39; ⇒ x≥ 3; ⇒ x∈[ 3, ...

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Definition of Functions

Solve 5x2+3...

Question

Solve $\frac{5 x}{2} + \frac{3 x}{4} \geq \frac{39}{4}$

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Solution

$\begin{matrix} \frac{5 x}{2} + \frac{3 x}{4} \geq \frac{39}{4} \Rightarrow \frac{10 x + 3 x}{4} \geq \frac{39}{4} \Rightarrow 13 x \geq 39 \Rightarrow x \geq 3 \Rightarrow x \in [3, \infty) \end{matrix}$

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