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

The shaded region in the graph represents the solutions of this system of linear inequalities:

y ___

4x + ___

y ≤ ___

x + ___


Note: Use the symbols <, >, <=, and >= for inequality signs.

Type The Correct Answer In Each Box Use Numerals Instead Of Words If Necessary Use For The Fraction Bars The Shaded Region In The Graph Represents The Solutions class=

Sagot :

Lanuel

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: https://brainly.com/question/21103162

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