SOLUTION: Someone PLEASE HELP me solve this inequality problem ! ~ Graph the inequality x + y is Less than or Equal to 4. Give it in interval notation. Thank You !

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Question 730137: Someone PLEASE HELP me solve this inequality problem !
~ Graph the inequality x + y is Less than or Equal to 4. Give it in interval
notation.
Thank You !
Found 3 solutions by solver91311, MathLover1, lynnlo:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Graph the line . Use a solid line because your original inequality is not strictly less than.

Since the line does not pass through the origin, pick the origin as a test point. (You can always use any point you like that is NOT on the boundary line).

Substitute the coordinates of the test point into your original inequality (Zero and zero if you used the origin as the test point as I suggested). If the result of the substitution is a true statement, shade the half-plane on the side of the line that contains the test point. If the result is a false statement, shade in the other side of the line.

"Interval notation" makes no sense in this context.

John

Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it
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Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
x+%2B+y+%3C=4

+graph%28+500%2C+500%2C+-10%2C10%2C+-10%2C+10%2C+x+%2B+y+%3C=4%29+
The domain is all real numbers x equal to or smaller than 4, (-infinity, 4]
The range is all real numbers y equal to or smaller than 4, (-infinity, 4]

Answer by lynnlo(4176) About Me  (Show Source):