Answer:
[tex]\huge\boxed{\bf\:r > -4 }[/tex]
Step-by-step explanation:
[tex]3(r+1)+2 > -7[/tex]
Use the distributive property to solve 3 (r + 1).
[tex]3r+3+2 > -7 \\3r + 5 > -7[/tex]
Now, bring 5 to the right hand side of the inequality .
[tex]3r > -7-5 \\3r > -12[/tex]
Divide both sides of the inequality by 3.
[tex]r > \frac{-12}{3} \\\boxed{\bf\:r > -4 }[/tex]
[tex]\rule{150pt}{2pt}[/tex]
