Answer: -6
Explanation:
![-2g+3>-5(g+1)](https://img.qammunity.org/2021/formulas/mathematics/high-school/ccx2hg5h9oew98spwsfmmbihn5ihw21eed.png)
First of all, solve the inequality.
Distribute -5 in the parentheses.
![-2g+3>-5g-5](https://img.qammunity.org/2021/formulas/mathematics/high-school/hkwykmcyhxrmmyrc979ddpiovtr3yscbrw.png)
Add 5g and subtract 3 from both sides.
![-2g+5g>-5-3](https://img.qammunity.org/2021/formulas/mathematics/high-school/j2pkzjrkbyud79vttwibbo71gc4v6du2bb.png)
Combine like terms
![3g>-8](https://img.qammunity.org/2021/formulas/mathematics/high-school/rx1zyq9mhe7817qz4irzdgmh5hhdhuhtdw.png)
Divide by 3.
![g>-(8)/(3)](https://img.qammunity.org/2021/formulas/mathematics/high-school/hvtoxtdllkvwryl3pekvushhrjx4uoeems.png)
This means that any input (g) has to be greater than
. If you do not know what is
, divide 8 by 3. That is equal to approximately
. Therefore, g has to be greater than -2.67, this will leave -6 out of the choices.