Question

Please solve and show work :)

3b - 2 (3b + 5) < -3 - 2b

Answer 1

`b > -7`

Explanation:

1) Expand.

`3b-6b-10 < -3-2b`

2) Simplify
`3b-6b-10` to
`-3b-10`.

`-3b-10 < -3-2b`

3) Add
`3b` to both sides.

`-10 < -3-2b+3b`

4) Simplify
`-3b-2b+3b` to
`-3+b`.

`-10 < -3+b`

5) Regroup terms.

`-10 < b-3`

6) Add 3 to both sides.

`-10+3 < b`

7) Simplify - 10 + 3 to -7.

`-7 < b`

8) Switch sides.

`b > -7`

Thanks,

Eddie

Answer 2

`{ \qquad\qquad\huge\underline{{\sf Answer}}}`

Here's the solution ~

`\qquad \sf  \dashrightarrow \: 3b - 2(3b + 5) < - 3 - 2b`

`\qquad \sf  \dashrightarrow \: 3b - 6b - 10 < - 3 - 2b`

`\qquad \sf  \dashrightarrow \: - 3b - 10 + 2b + 3 < 0`

`\qquad \sf  \dashrightarrow \: - b - 7 < 0`

`\qquad \sf  \dashrightarrow \: b > - 7`