Option A:
is the solution
Explanation:
The solution of the given inequality is the set of all the possible values of x.
The graph shows the number line in which the shaded region is from the right of -4 and the arrow of solution goes to infinity.
Also, There is a closed circle at the point -4.
This means that -4 is included in the solution set.
The solution to the inequality is the set of all the real values which are greater than or equal to -4.
Thus, the solution is x ≥ -4
Hence, the solution is 
-6X-30+6=-2X-16
4X=-8
X=-2
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The end behavior of functions with exponents is quite simple when you realized that as x approaches infinity that the function will act as if the highest exponent term is the only one which exists...
In this case 3x^8 is the highest order term, so y approaches +oo as x approaches +oo or -oo. Or in other words y increases without bound as x approaches ±oo