Given:
The inequality is:
![-3x-4<2](https://img.qammunity.org/2022/formulas/mathematics/high-school/myvy6jplhy3dow3udq975qibbl1cjf8bv2.png)
To find:
The values that are solutions to the given inequality.
Solution:
We have,
![-3x-4<2](https://img.qammunity.org/2022/formulas/mathematics/high-school/myvy6jplhy3dow3udq975qibbl1cjf8bv2.png)
Adding 4 on both sides, we get
![-3x-4+4<2+4](https://img.qammunity.org/2022/formulas/mathematics/high-school/42ycimnioxb4uclx0hv511zid8y8e4tmvq.png)
![-3x<6](https://img.qammunity.org/2022/formulas/mathematics/high-school/fonawo1wy9x0f8tohqb2oahrmr0kt9v6a6.png)
Divide both sides by -3 and change the inequality sign because -3 is a negative value.
![(-3x)/(-3)>(6)/(-3)](https://img.qammunity.org/2022/formulas/mathematics/high-school/vmnsvf7yu3ia8yipld8kurp4cgxrxa5riu.png)
![x>-2](https://img.qammunity.org/2022/formulas/mathematics/high-school/krz5birsdimneewh8zrnffternzw6p8ski.png)
Therefore, all the real values greater than -2 are the solutions to the given inequality.