MCQ
If – 3x + 17 < – 13, then:
- ✓$\text{x}\in(10,\infty)$
- B$\text{x}\in\big[10,\infty)$
- C$\text{x}\in(-\infty,10\big]$
- D$\text{x}\in\big[-10,10)$
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$f ( x )=(3-\sin (2 \pi x )) \sin \left(\pi x -\frac{\pi}{4}\right)-\sin \left(3 \pi x +\frac{\pi}{4}\right)$
If $\alpha, \beta \in[0,2]$ are such that $\{x \in[0,2]: f(x) \geq 0\}=[\alpha, \beta]$, then the value of $\beta-\alpha$ is. . . . . . . . .