Question

Solve for absolute value: 3(r+1)+2>-7

Answer 1

`\huge\boxed{\bf\:r > -4 }`

Explanation:

`3(r+1)+2 > -7`

Use the distributive property to solve 3 (r + 1).

`3r+3+2 > -7 \\3r + 5 > -7`

Now, bring 5 to the right hand side of the inequality .

`3r > -7-5 \\3r > -12`

Divide both sides of the inequality by 3.

`r > (-12)/(3) \\\boxed{\bf\:r > -4 }`

`\rule{150pt}{2pt}`