Based on the calculations, the solutions of this system of linear inequalities are equal to:
- y < 4x + 5
- y ≤ 2x + 3
<h3>What is an inequality?</h3>
An inequality simply refers to a mathematical relation that's used to compare two (2) or more integers (variables) in an equation based on any of the following:
- Greater than or equal to (≥).
- Less than or equal to (≤).
In order to determine the solutions of this system of linear inequalities, we would find the slope of each line.
For line A, we have:
Slope, m = (11 - 3)/(4 - 0) = 8/4
Slope, m = 2.
Mathematically, the standard equation of a line is given by y = mx + b.
y = 2x + 3
y ≤ 2x + 3.
For line B, the slope is equal to 4. Also, the y-intercept from the graph is equal to 5.
Therefore, the standard equation of a line is given by:
y = 4x + 5
y < 4x + 5
In conclusion, the solutions of this system of linear inequalities are equal to:
- y < 4x + 5
- y ≤ 2x + 3
Read more on linear inequalities here: brainly.com/question/21103162
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