How do you graph x + y < - 4 ?

Davon Irwin

Davon Irwin

Answered

2022-06-26

How do you graph x + y < - 4 ?

Answer & Explanation

pheniankang

pheniankang

Expert

2022-06-27Added 22 answers

Step 1
Although 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 < - 44
Subtract x from both sides
y < - x - 4
As y is 'less than' 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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