Question

Solve the inequality. 3x+6<3(x-7)

Answer 1

$\boxed{\large\displaystyle\begin{gathered}\sf \bf{3x+6 < 3(x-7) } \end{gathered} }$

Simplify both sides of the inequality.

$\boxed{\large\displaystyle\begin{gathered}\sf \bf{3x+6 < 3x-21 } \end{gathered} }$

Subtract 3x from both sides.

$\boxed{\large\displaystyle\begin{gathered}\sf \bf{3x+6-3x < 3x-21-3x } \end{gathered} }$

$\boxed{\large\displaystyle\begin{gathered}\sf \bf{6 < -21 } \end{gathered} }$

Subtract 6 from both sides.

$\boxed{\large\displaystyle\begin{gathered}\sf \bf{6-6 < -21-6 } \end{gathered} }$

$\boxed{\large\displaystyle\begin{gathered}\sf \bf{0 < -27} \end{gathered} }$

There are no solutions.

Standard form: x ∈ ∅

Answer 2

Answer:

0 < - 27

Step-by-step explanation:

1. Distribute

3x + 6 < 3(x-7)

3x + 6 < 3x - 21

2. Subtract 6 from both sides

3x + 6 <  3x - 21

3x + 6 - 6 < 3x - 21 - 6

3. Simplify

   subtract

    3x + 6 - 6 < 3x - 21 - 6

    3x <  3x - 21 - 6

   subtract

     3x < 3x - 21 - 6

     3x < 3x - 27

4. Subtract 3x from both sides

3x < 3x - 27

3x - 3x < 3x - 27 - 3x

5. Simplify

    combine like terms

     3x - 3x < 3x - 27 - 3x

     0 < 3x - 27 - 3x

     0 < 3x - 27 - 3x

      0 < -  27

And that is how you get your answer