Question

# Graph the solution sets of the following inequations :$$x + y \geq 4$$.

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#### Given $$x+y\ge 4$$Let us draw the graph of $$x+y=4$$Put $$x=0\implies 0+y=4\implies y=4$$$$(0,4)$$ is the solution set of $$x+y=4$$Put $$y=0\implies x+0=4\implies x=4$$$$(4,0)$$ is the solution set of $$x+y=4$$$$\implies (4,0),(0,4)$$ lies on the line $$x+y=4$$$$(0,0)$$ lies in the left side area of $$x+y=4$$Let us check that $$(0,0)$$ lies in the area of solution set of $$x+y\ge 4$$$$x+y=0+0<4$$$$\implies (0,0)$$ does not lies in the area of solution set of $$x+y\ge 4$$$$\therefore$$ solution set is the area which right side of $$x+y=4$$

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