Which system of linear inequalities is represented by the graph?

y > x – 2 and y < x + 1
y < x – 2 and y > x + 1
y < x – 2 and y > x + 1
y > x – 2 and y < x + 1

The system of linear inequalities is represented by the graph are and Option (a) is correct.

Further explanation:

The linear equation with slope m and intercept c is given as follows.

The formula for slope of line with points and can be expressed as,

Given:

The given options are as follows,

(a).

(b).

(c).

(d).

Explanation:

The first line passes the points and

The slope of the line can be obtained as follows.

The slope of the line is

The line intersect y-axis at . Therefore, y-intercept is 1.

Substitute in equation to check whether the equation includes origin.

The equation of first line is

The second line passes the points and

The slope of the line can be obtained as follows.

The slope of the line is

The line intersect y-axis at Therefore, y-intercept is -2.

Substitute in equation to check whether the equation includes origin.

The equation of second line is

The system of linear inequalities is represented by the graph are and

Option (a) is correct.

Option (b) is not correct.

Option (c) is not correct.

Option (d) is not correct.

Learn more:

1. Learn more about inverse of the functionhttps://link.

2. Learn more about equation of circle link.

3. Learn more about range and domain of the function link

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Linear equation

Keywords: numbers, slope, slope intercept, inequality, equation, linear inequality, shaded region, y-intercept, graph, representation, origin.

the answer is b