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

Can Someone Plesae Help Me Find The Answer To This Problen And Help Me Graph class=

Sagot :

Solving the first inequality for x we get:

[tex]\begin{gathered} 4x+4>-32, \\ 4x+4-4>-32-4, \\ 4x>-36, \\ \frac{4x}{4}>-\frac{36}{4}, \\ x>-9. \end{gathered}[/tex]

Solving the second inequality for x we get:

[tex]\begin{gathered} 16>4x+4, \\ 16-4>4x+4-4, \\ 12>4x, \\ \frac{12}{4}>\frac{4x}{4}, \\ 3>x\text{.} \end{gathered}[/tex]

Therefore, the solution set is:

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

View image TyrD432279
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