How will the solution of the system y > 2x two-thirds and y < 2x one-third change if the inequality sign on both inequalit

Question

Svetllana [295]

3 years ago

13

How will the solution of the system y > 2x two-thirds and y < 2x one-third change if the inequality sign on both inequalit

ies is reversed to y < 2x two-thirds and y > 2x one-third?

Mathematics

1 answer:

andreyandreev [35.5K] · Answer 1 · 2022-12-27T03:29:34+03:00

Changing the inequality signs would ensure that the signs on the solution would also be reversed

<h3>How to determine the true statement?</h3>

The system of inequality is given as:

$y > 2x + \frac 23$

$y < 2x + \frac 13$

When the inequality signs are reversed, we have the following system of equations

$y < 2x + \frac 23$

$y > 2x + \frac 13$

Changing the inequality signs would ensure that the opposite region of the initial system of inequality is shaded, and the signs on the solution would also be reversed