What is the solution of 3+ (x-2)/(x-3) < =4 x< 3 x< =3 x> 3 x> =3

A. X < 3.

Step-by-step explanation:

We have the equation,

Adding -4 on both sides, we get,

i.e.

i.e.

So, we have the inequality .

Its critical points are given by  x-3 = 0 which implies x = 3.

Now, we will find the region among the two and that satisfies the inequality

Substitute x = 2 in the above inequality, we get -1 < 0, which is true. Again, substitute x=4 gives 1 < 0, which is false.

As x=4 lie in the region   , it cannot be the solution of the given inequality.

So, the solution of the given inequality is the region .i.e. x < 3.

Hence. option A is correct.

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step-by-step explanation: