Answer: -6
Step-by-step explanation:
[tex]-2g+3>-5(g+1)[/tex]
First of all, solve the inequality.
Distribute -5 in the parentheses.
[tex]-2g+3>-5g-5[/tex]
Add 5g and subtract 3 from both sides.
[tex]-2g+5g>-5-3[/tex]
Combine like terms
[tex]3g>-8[/tex]
Divide by 3.
[tex]g>-\frac{8}{3}[/tex]
This means that any input (g) has to be greater than [tex]-\frac{8}{3}[/tex]. If you do not know what is [tex]-\frac{8}{3}[/tex], divide 8 by 3. That is equal to approximately [tex]-2.67[/tex]. Therefore, g has to be greater than -2.67, this will leave -6 out of the choices.
