Solve each of the following system of inequations in R

4x – 1 ≤ 0, 3 – 4x < 0

Given 4x – 1 ≤ 0 and 3 – 4x < 0


Let us consider the first inequality.


4x – 1 ≤ 0


4x – 1 + 1 ≤ 0 + 1


4x ≤ 1




(1)


Now, let us consider the second inequality.


3 – 4x < 0


3 – 4x – 3 < 0 – 3


–4x < –3





(2)


From (1) and (2), we get



x


Thus, there is no solution of the given system of inequations.


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