Question

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

3q + 18 < 11
3q + 6 > 11
q + 18 > 11
q + 18 > 11

Answer 1

3q+18 > 11

Explanation:

Answer 2

Given:

The inequality is

`3(q+6)>11`

To find:

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

Solution:

We have,

`3(q+6)>11`

Using distributive property, we get

`3(q)+3(6)>11`

`3q+18>11`

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

Hence, all options are incorrect. The required inequality is
`3q+18>11`.