Asked by Maggie
Determine the solution set of 2x-3y<6
4x + 4y < 8
|
This sign should be
Less than or equal to
4x + 4y < 8
|
This sign should be
Less than or equal to
Answers
Answered by
Reiny
2x-3y ≤ 6
-3y ≤ -2x + 6
y ≥ (2/3)x - 2
so shade in everything above and including the line
y = (2/3)x - 2
4x + 4y ≤ 8
x + y ≤ 2
y ≤ -x + 2
now shade in everything below and including the line y = -x + 2
the solution is all the shaded region belonging to both parts.
-3y ≤ -2x + 6
y ≥ (2/3)x - 2
so shade in everything above and including the line
y = (2/3)x - 2
4x + 4y ≤ 8
x + y ≤ 2
y ≤ -x + 2
now shade in everything below and including the line y = -x + 2
the solution is all the shaded region belonging to both parts.
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