[tex]n<5[/tex]
The number line is shown in figure attached below.
Step-by-step explanation:
We need to solve the inequality [tex]-4(3+n)>-32[/tex] and find value of n.
Solving the inequality:
[tex]-4(3+n)>-32[/tex]
Multiplying -4 with terms inside the bracket.
[tex]-12-4n>-32[/tex]
Adding 12 on both sides:
[tex]-12-4n+12>-32+12[/tex]
[tex]-4n>-20[/tex]
Divide both sides by -4 and reverse the inequality:
[tex]n<5[/tex]
The number line is shown in figure attached below.
The number line starts with 5 with unfilled hole because n is less than 5 and moves towards left of the number line, because all values less than 5 are included in number line.
Keywords: Solving inequalities
Learn more about Solving inequalities at:
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brainly.com/question/1465430
- brainly.com/question/6703816
- brainly.com/question/4192226
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