Draw the graph of x + 2y ≥ -4. 

Solution:

Given, the inequality is x + 2y ≥ -4.

We have to draw the graph of x + 2y ≥ -4.

First draw the graph of x + 2y = -4

When x = 0,

0 + 2y = -4

y = -4/2

y = -2

When x = -4,

-4 + 2y = 4

2y = 0

y = 0

When x = -6,

-6 + 2y = -4

2y = -4 + 2

2y = 2

y = 2/2

y = 1

x	-6	-4	0
y	1	0	-2

To check as to which side of the line to shade

Put (0, 0) in the inequation x + 2y ≥ -4

0 + 2(0) ≥ -4

0 ≥ -4

So, shade the part of the plane on that side of the line that contains the origin.

(0, 0) belongs to graph represented by x + 2y ≥ -4

Therefore, the graph is shown above.

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Draw the graph of x + 2y ≥ -4.

Summary:

The graph of inequality x + 2y ≥ -4 is shown above.