Question

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).

Answer 1

Based on the calculations, the solutions of this system of linear inequalities are equal to:

1. y < 4x + 5
2. y ≤ 2x + 3

What is an inequality?

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 (>).

• Less than (<).

• 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:

1. y < 4x + 5
2. y ≤ 2x + 3

Read more on linear inequalities here: brainly.com/question/21103162

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