Solution of a linear inequality in variable x is represented on number line.
$\text{x}\in\big(\frac{9}{2},\infty\big)$
$\text{x}\in\big[\frac{9}{2},\infty\big]$
$\text{x}\in\big(-\infty,\frac{9}{2}\big)$
$\text{x}\in\big[\frac{9}{2},\infty\big)$
Solution:
The given graph has all real values of x greater than and equal to $\frac{9}{2}.$
So, $\text{x}\in\big[\frac{9}{2}\infty\big]$
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The value of $\sin\frac{\pi}{10}\sin\frac{13\pi}{10}$ is:
$\frac{1}{2}$
$-\frac{1}{2}$
$-\frac{1}{4}$
$1$
[Hint: Use $\sin18^\circ=\frac{\sqrt{5}-1}{4}$ and $\cos36^\circ=\frac{\sqrt{5}+1}{4}$]
On the parabola y = x2, the point least distant from the straight line y = 2x - 4 is: