Question

Which graph represents the solution set of the system of inequalities?
{y<2x+2
x+y≥−3

Answer 1

y < 2x + 2

y-intercept = 2, m = 2 > 0 therefore the function is increasing (pic. 1 and 2)

x + y ≥ -3     |-x

y ≥ -x - 3

The slope intercept form: y = mx + b

m - slope, b - y-intercept

y-intercept = -3, m = -1 < 0 therefore the function is decreasing (pic. 1 and 2)

y < 2x + 2 shaded below the line (pic. 1)

y ≥ -x - 3 shaded above the line (pic. 1 and 2)

Answer: pic.1

Answer 2

Graph A represents the solution set of the system of inequalities

What is Inequality ?

When two expressions are connected not by an equal sign but by greater than , less than ,greater than equal to , less than equal to , such statements are called inequalities.

A set of system of inequalities is given in the question

y<2x+2

x+y≥−3

Graphs are given in options , one of which represents this system of inequality.

The correct graph can be determined by plotting the inequalities on graph and the common section of both the graph will be the solution.

The plot is attached with the answer.

Therefore Graph A  represents the solution set of the system of inequalities.

To know more about Inequality

https://brainly.com/question/20383699

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