Conditions on the parameters of logarithm function

Q.

The set of all real$x$ satisfying the inequality$\frac{3-\left|x\right|}{4-\left|x\right|}\ge 0$

1. $[-3,3]\cup (-\infty ,–4)\cup (4,\infty )$

2. $(-\infty ,–4)\cup (4,\infty )$

3. $(-\infty ,–3)\cup (4,\infty )$

4. $(-\infty ,–3)\cup (3,\infty )$

5. $(-3,3)\cup (4,\infty )$

Q. The number of real values of the parameter k for which $(lo{g}_{16}x{)}^2-lo{g}_{16}x+lo{g}_{16}k=0$ with real coefficients will have exactly one solution is

1. 2
2. 1
3. 4
4. None of these