A) \[x\ge 6,y\ge 2\]
B) \[2x+y\ge 10,\,x\ge 0,\,\,y\ge 0\]
C) \[x\ge 6\]
D) None of these.
Correct Answer: B
Solution :
When \[x\ge 6\]and \[y\ge 2\], then \[2x+y\ge 2\times 6+2,\] i.e., \[2x+y\ge 14\] Hence, \[x\ge 0,\,y\ge 0\] and \[2x+y\ge 14\] are automatically satisfied by every point of the region. \[\left\{ \left( x,y \right):\,x\ge 6 \right\}\cap \left\{ \left( x,y \right):\,y\,\ge 2 \right\}\]
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