How will the solution of the system y > 2x + Two-thirds and y < 2x + One-third change if the inequality sign on both inequ

Question

kondaur [170]

4 years ago

8

How will the solution of the system y > 2x + Two-thirds and y < 2x + One-third change if the inequality sign on both inequ

alities is reversed to y < 2x + Two-thirds and y > 2x + One-third?

Mathematics

2 answers:

nignag [31] · Answer 1 · 2022-01-02T01:08:49+03:00

Answer:

see the explanation

Step-by-step explanation:

Original system

we have

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

$y$

Solve the system by graphing

The system of inequalities has no solution, because the dashed lines are parallel and the regions do not intersect

see the attached figure N 1

Reversed system

we have

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

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

Solve the system by graphing

The solution of the system of inequalities is the shaded area between the two parallel dashed lines

see the attached figure N 2

therefore

From not having solution the system changed to have solution

trapecia [35] · Answer 2 · 2022-01-02T02:42:47+03:00

trapecia [35]4 years ago

3 0

Answer:There is no solution to the system in its original form. There are no points in common. If the signs are reversed, the system has an intersection with an infinite number of solutions.