Graph of |x|

Q. How many integers satisfy the condition $|x|\le 3$? ___

Q. If $f\left(x\right)=|x|$ and graph of $f(x-a)$ is


, then the value of $2a$ is

Q. The equation $2|x|-1=3|\sin \pi x|$ has

1. $4$ solutions
2. No solution in $[2,\infty )$
3. $6$ solutions
4. Two solutions in $(0,\frac{1}{2})$

Q. $\text{If}f\left(x\right)=2x-1,\text{then the number of positive solution(s)}\text{of the equation}|f\left(x\right)|=|f(|x|-1)|\text{is/are}$

1. $1$
2. $2$
3. $4$
4. $8$