124k views
9 votes
Graph the inequality 2x + y > 4 and shade the correct solution set.

User Thangaraj
by
5.3k points

1 Answer

13 votes

Answer:

see attached

Explanation:

The boundary line has intercepts that are each found by setting the other variable to 0.

x-intercept = 4/2 = 2

y-intercept = 4/1 = 4

The line through these points, (2, 0) and (0, 4), will be dashed, because it is not included in the solution set. The values of x and y that are in the solution set are greater than those on the line, so shading will be to the upper right.

Graph the inequality 2x + y > 4 and shade the correct solution set.-example-1
User Sam Machin
by
4.6k points