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Question

Solve the following system of equations in R.
2x3424x36,2(2x+3)<6(x2)+10

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Solution

Consider the first inequation,

2x3424x362x+3844x1833(2x11)4(4x18)6x3316x726x16x72+3310x39x3910 ...(i)


Consider the second inequation,

2(2x+3)<6(x2)+104x+6<6x12+104x6x<126+102x<8x>8 ...(ii)
From (i) and (ii)there is no solution set of the simultaneous equations.


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