ANSWER
Part A
EXPLANATION
The given inequalities are,
and
To see which part of the graph best represent the solution set, choose a point from each part and substitute in to the inequalities.
If a point from a given part satisfies the inequalities simultaneously, then that part best represents the solution set.
Part A.
We choose
We plug in to the inequalities.
The above inequality is true.
We plug in to the second inequality.
.
This statement is also true.
Part B.
If we plug in
in to the first statement, we get,
This implies that,
This is true.
If substitute in to the second, we get,
This is false.
Part C
We plug
in to the first inequality
This means that,
This is false.
We plug in to the second inequality,
False.
Part D also has the point
We put this point in to the first inequality to get,
This is false.
Then in to the second inequality.
This final statement is true.
Since the point from Part A satisfies both inequalities simultaneously, it represents the solution set.