1 Answer

Kochez · Answer 1 · 2023-12-07T16:17:16+0000

Given:

$\begin{gathered} 4x+4>-32\rightarrow(1) \\ 16>4x+4\rightarrow(2) \end{gathered}$

The solution to the inequality (1):

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

The solution to the inequality (2):

$\begin{gathered} 16>4x+4 \\ 16-4>4x \\ 12>4x \\ (12)/(4)>x \\ 3>x \end{gathered}$

So, from the solutions of the inequalties:

[tex]-9The graph on the number line will be as shown in the following figure:

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