1.

A vertex of common graph of inequalities `2x+y ge 2` and `x-y le 3` , isA. `(0,0)`B. `((5)/(3),-(4)/(3))`C. `((5)/(3),(4)/(3))`D. `(-(4)/(3),(5)/(3))`

Answer» Correct Answer - B
To find a common vertex of inequalities `2x+y ge 2 and x-yle 3`, solve the following equations
`2x+y=2`.......(i)
and `x-y=3`...(ii)
On solving Eqs. (i) and (ii) , we get
`x=(5)/(3) and y=-(4)/(3)` .


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