Question
The linear inequality representing the solution set given in Fig. is:

- $\text{|x|}<5$
- $\text{|x|}>5$
- $\text{|x|}\geq5$
- $\text{|x|}\geq5$


Solution:
As according to the graph,
x lies between $(-\infty,-5]$ and $[5,\infty)$
$\Rightarrow\text{x}\geq5$ or $\text{x}\leq-5$
$\Rightarrow|\text{x}|\geq5$
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The distance of the point of intersection of the lines 2x - 3y + 5 = 0 and 3x + 4y = 0 from the line 5x - 2y = 0 is:
$\frac{130}{17\sqrt{29}}$
$\frac{13}{7\sqrt{29}}$
$\frac{130}{7}$
$\lim\limits_{\text{x} \rightarrow \pi}\frac{\text{x}^{2}\cos\text{x}}{1-\cos\text{x}}$ is equal to:
$2$
$\frac{3}{2}$
$-\frac{3}{2}$
$1$