Q. 75.0( 1 Vote )

Solve each of the following system of inequations in R

2x + 5 ≤ 0, x – 3 ≤ 0

Answer :

Given 2x + 5 ≤ 0 and x – 3 ≤ 0


Let us consider the first inequality.


2x + 5 ≤ 0


2x + 5 – 5 ≤ 0 – 5


2x ≤ –5




(1)


Now, let us consider the second inequality.


x – 3 ≤ 0


x – 3 + 3 ≤ 0 + 3


x ≤ 3


x (–∞, 3] (2)


From (1) and (2), we get




Thus, the solution of the given system of inequations is


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