Graph the solution set of each given system

Missy Lee 2022-03-25 Answered

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

 x < 1
2x + y ≤ 4

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Answers (1)

Answered 2022-04-28 Author has 460 answers


Graph x<1.


Graph 2x+y4.

Write in y=mx+b form.

Subtract 2x from both sides of the inequality.


Rearrange terms.


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.


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



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.


Plot each graph on the same coordinate system.





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