Graph the solution set of each given system

Missy Lee

Missy Lee

Answered question

2022-03-25

Graph the solution set of each given system of linear inequalities.
 

 x < 1
2x + y ≤ 4

Answer & Explanation

Vasquez

Vasquez

Expert2022-04-28Added 597 answers

x<1
2x+y4

Graph x<1.

x<1

Graph 2x+y4.

Write in y=mx+b form.

Subtract 2x from both sides of the inequality.

y4-2x

Rearrange terms.

y-2x+4

Use the slope-intercept form to find the slope and y-intercept.

The slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept.

y=mx+b

Find the values of m and b using the form y=mx+b.

m=-2

b=4

The slope of the line is the value of m, and the y-intercept is the value of b.

Slope: -2

y-intercept: (0,4)

Graph a solid line, then shade the area below the boundary line since y is less than -2x+4.

y-2x+4

Plot each graph on the same coordinate system.

x<1

2x+y4

 


 

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