contestada

which inequality has the same solution set as 3(q + 6) > 11?
3q + 18 < 11
3q + 6 > 11
q + 18 > 11
q + 18 > 11

Respuesta :

Given:

The inequality is

[tex]3(q+6)>11[/tex]

To find:

The inequality that has the same solution set as the given inequality.

Solution:

We have,

[tex]3(q+6)>11[/tex]

Using distributive property, we get

[tex]3(q)+3(6)>11[/tex]

[tex]3q+18>11[/tex]

Since the given inequality can be rewritten as [tex]3q+18>11[/tex], therefore the inequality [tex]3q+18>11[/tex] has the same solution set as [tex]3(q+6)>11[/tex].

Hence, all options are incorrect. The required inequality is [tex]3q+18>11[/tex].