Question

3. Which of the following would be in the solution set to the system of inequalities given below?y>4x+78x- 2y > 10(-4,1)(6,2)No solutionBoth (-4, 1) and (6,2) are solutions

Answer 1

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?

`\begin{gathered} \text{The following inequalities are given:} \\ y>4x\text{ + 7} \\ 8x-2y>10 \end{gathered}`

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