question_answer

For the equations\[(p+2)\left( q-\frac{1}{2} \right)=pq-5\] and\[(p-2)\left( q-\frac{1}{2} \right)=pq-5\], find the solution set (p, q).

A)  \[\left( -10,-\frac{1}{2} \right)\]                               

B)  \[\left( -10,\frac{1}{2} \right)\]

C)  \[\left( 10,-\frac{1}{2} \right)\]

D)         \[\left( 10,\frac{1}{2} \right)\]