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Which linear inequality will not have a shared solution
set with the graphed linear inequality?
O y < 5/3 x-2
O y < -5/3 x + 1
Oy > 5/3 x + 2
O y > -5/3 x + 2

Which linear inequality will not have a shared solution set with the graphed linear inequality O y lt 53 x2 O y lt 53 x 1 Oy gt 53 x 2 O y gt 53 x 2 class=

Respuesta :

mhanifa

Answer:

  • C. y > 5/3 x + 2

Step-by-step explanation:

A. y < 5/3 x-2

  • Will mostly share the region, same side of the parallel line

B. y < -5/3 x + 1

  • Will share almost half of the region

C. y > 5/3 x + 2

  • Left side of the parallel line, no shared region

D. y > -5/3 x + 2

  • Same as B.
MrRoyal

[tex]y > \frac 53x +2[/tex] will not have a shared solution set with the graphed linear inequality

How to determine the linear inequality?

From the graph, we have the equation of the line to be:

[tex]y < \frac 53x +1[/tex]

The equation that have a shared solution must intersect with the line of the inequality.

From the list of options, we have:

[tex]y < \frac 53x -2[/tex] --- has the same slope, but a smaller y-intercept.

This means that the region of [tex]y < \frac 53x -2[/tex] is within the region of [tex]y < \frac 53x +1[/tex]

[tex]y < -\frac 53x + 1[/tex]

This has a different slope to the graph.

So, it will have a shared solution

[tex]y > \frac 53x +2[/tex] --- has the same slope, but a bigger y-intercept and a different inequality sign

This means that the region of [tex]y > \frac 53x +2[/tex] is outside the region of [tex]y < \frac 53x +1[/tex], and it will not have a shared solution

Hence, [tex]y > \frac 53x +2[/tex] will not have a shared solution set with the graphed linear inequality

Read more about inequalities at:

https://brainly.com/question/11234618

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