Solve each of the following system of inequations in R

Given and


Let us consider the first inequality.




7x – 1 < –6


7x – 1 + 1 < –6 + 1


7x < –5




(1)


Now, let us consider the second inequality.






3x + 63 < 0


3x + 63 – 63 < 0 – 63


3x < –63



x < –21


x (–∞, –21) (2)


From (1) and (2), we get



x (–∞, –21)


Thus, the solution of the given system of inequations is (–∞, –21).


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