Answer :
Given: y + 8 ≥ 2x
Consider: y + 8 = 2x

Now draw a solid line y + 8 = 2x in the graph (∵y + 8 = 2x is included in the given question)
Now Consider y + 8 2x
Select a point (0,0)
⇒ (0) + 8 2 × (0)
⇒ 08 (this is true)
∴ Solution region of the given inequality is above the line y + 8 = 2x. (That is origin is included in the region)
The graph is as follows:
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