Question

Can someone plesae help me find the answer to this problen and help me graph?

Answer 1

Solving the first inequality for x we get:

`\begin{gathered} 4x+4>-32, \\ 4x+4-4>-32-4, \\ 4x>-36, \\ (4x)/(4)>-(36)/(4), \\ x>-9. \end{gathered}`

Solving the second inequality for x we get:

`\begin{gathered} 16>4x+4, \\ 16-4>4x+4-4, \\ 12>4x, \\ (12)/(4)>(4x)/(4), \\ 3>x\text{.} \end{gathered}`

Therefore, the solution set is:

[tex]-\inftyThe graph of the solution set is the entire number line, as shown below: