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Mathematics

Answered

1. On a number line, graph the solution to the inequality -5(x + 1) > 7x +31? Also, write thesolution in interval notation.

Answer :

TaliesinD736360go TaliesinD736360go

We have the following:

[tex]\begin{gathered} -5\cdot\left(x+1\right)>7x+31 \\ -5x-5>7x+31 \\ -5x-5+5>7x+31+5 \\ -5x-7x>7x+36-7x \\ -12x>36 \\ x>\frac{36}{-12} \\ x<-3 \end{gathered}[/tex]

interval notation:

[tex](-\infty,-3)[/tex]

graph:

View image TaliesinD736360

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