Which graph shows the solution to the system of linear inequalities?

x – 4y < 4

y < x + 1

Question

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Respuesta :

calculista calculista · Answer 1 · 2018-10-19T15:49:06+02:00

we have

[tex]x-4y < 4[/tex] --------> inequality A

[tex]y < x+1[/tex] --------> inequality B

Using a graphing tool

the solution of the inequality A is the shaded area above the dashed line

see the attached figure N [tex]1[/tex]

the solution of the inequality B is the shaded area below the dashed line

see the attached figure N [tex]2[/tex]

therefore

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

see the attached figure N [tex]3[/tex]

therefore

the answer in the attached figure N [tex]3[/tex]

Answer Link

MrRoyal MrRoyal · Answer 2 · 2022-01-31T19:01:29+01:00

The graph shows the solution to the system of linear inequalities is graph (a)

The inequalities are given as:

[tex]x - 4y < 4[/tex]

[tex]y < x + 1[/tex]

Both inequalities are represented by the less than sign.

This means that, the lines of the inequalities are dashed lines

Next, we plot the graph of both inequalities (see attachment)

From the attached graph, we can conclude that:

The graph shows the solution to the system of linear inequalities is graph (a)