Solve the following system of equations in R.

3x-6 >,2x-5>0

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Solution

Consider the first inequation,

3x-6 >0

3x>6

x>2 ....(i)

Consider the second inequation,

2x-5 >0

2x>5

x> $\frac{5}{2}$ ....(ii)

$F r o m (i) a n d (i i), [\frac{5}{2}, \infty] i s t h e s o l u t i o n s e t o f t h e s i m u l t a n e o u s e q u a t i o n s .$

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