The solution to these system of inequalities is the point of intersection of the lines representing each inequality as depicted by graph C.
<h3>What is an inequality?</h3>
An inequality can be defined as a mathematical relation that compares two (2) or more integers and variables in an equation based on any of the following arguments:
- Less than (<).
- Greater than (>).
- Less than or equal to (≤).
- Greater than or equal to (≥).
First of all, we would plot a graph of the inequality y ≤ -4x - 1. Also, you should take note that the border line is solid because the inequality is (≤).
Also, the related equation is given by:
y = -4x - 1
At point (0, 0), we have:
0 ≤ 4(0) - 1
0 ≤ -1 (False).
Therefore, the lower half of the line would be shaded because the solution doesn't contain the point (0, 0).
For the second inequality, we have:
y > 3x - 1
0 > 3(0) - 1
0 > -1 (False).
In conclusion, the solution to these system of inequalities is the point of intersection of the lines on the graph representing each inequality as depicted in the image attached below.
Read more on graphing of inequalities here: brainly.com/question/9290436
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