Question

How will the solution of the system y > 2x + 2/3 and y < 2x + 1/3 change if the inequality sign on both inequalities is reversed to y < 2x + 2/3 and y > 2x + 1/3.

Answer 1

Answer:Infinite solution

Step-by-step explanation:

For Inequalities

$y>2x+\frac{2}{3}$

3y-6x>2

and $y$

3y-6x<1

The required Inequalities have no solution because they do not share the common region for a common solution

But if signs of both inequalities  is changed then the system has infinite number of solution.

$y$

3y-6x<2

and $y>2x+\frac{1}{3}$

3y-6x>1