GraelynY11733 GraelynY11733

03-11-2022
Mathematics

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

Respuesta :

TaliesinD736360 TaliesinD736360

03-11-2022

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:

Ver imagen TaliesinD736360

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