Question 161791
3x-2 ≤ 5x+y
Choice a value for x and solve for y;
x=1
3(1)-2 ≤ 5(1)+y
3-2 ≤ 5+y
1-5 ≤ y
-5 ≤ y
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x=2
3(2)-2 ≤ 5(2)+y
6-2 ≤ 10+y
4-10 ≤ y
-6 ≤
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x=-1
3(-1)-2 ≤ 5(-1)+y
-3-2 ≤-5+y
-5+5 ≤ y
0 ≤ y
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Know you have three points, so you can graph;
{{{ graph( 500, 500, -7, 7, -7, 7, -2x-2) }}}
The area below the line is shaded.
:)