When the inequality sign will be changed, the system of inequalities will have a solution.
What are inequalities?
Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.
The solution of the system of inequalities y>2x+(2/3) and y<2x+(1/3) will have no solution as can be seen below, in the first graph.
The solution of the system of inequalities y<2x+(2/3) and y>2x+(1/3) will have a solution of x and y as,
(-1/3) < x < (-1/6)
(1/3) < y < (2/3)
Hence, when the inequality sign will be changed, the system of inequalities will have a solution.
Learn more about Inequality:
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