How do you graph x + y &lt; - 4 ?

Question

How do you graph       x    +    y    &amp;lt;    -    4   ?

pheniankang · Accepted Answer

Step 1Although not the case, just for now consider it as       x    +    y    =    -    4   to determine the line to be graphed.Subtract x from both sides      y    =    -    x    -    4  This will plot the line. However what we really have is:      x    +    y    &amp;lt;    -    44  Subtract x from both sides      y    &amp;lt;    -    x    -    4  As y is &#039;less than&#039; something done to x, the value of y can never actually be the value on the line. Consequently we use a dotted line to signify this condition. You would also use a dotted line for greater than.To indicate that y can take on any value less then the line the area under the line (less than) is shaded.

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