Solution:
Step 1:
Problem definition:
We are reqiured to detetrmine which of the options would be in the solution set to the system of inequalities given
Step 2:
What is/are given?
[tex]\begin{gathered} \text{The following inequalities are given:} \\ y>4x\text{ + 7} \\ 8x-2y>10 \end{gathered}[/tex]
Step 3:
Plot the graph of the two inequalities:
The gaph of the inequaities is shown below
Step 4: Determine the solution of the inequalities:
Looking at the graph of the inequalitues, we can see the two graphs is unbounded (that is they do not have a common region). This implies the system of inequaliteis has no solution.
Conclusion:
The correct option is No solution
