Answered

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Needed help to catch up before summer come any help will be good thank you

Needed Help To Catch Up Before Summer Come Any Help Will Be Good Thank You class=

Sagot :

We have the following set of inequations

[tex]\begin{cases}y-2<-5{} \\ y-2>{5}\end{cases}[/tex]

Let's solve both for y, it will give us

[tex]\begin{cases}y<-5{+2} \\ y>{5}+2\end{cases}\Rightarrow\begin{cases}y<-3 \\ y>7\end{cases}[/tex]

Therefore y must be smaller than -3 and bigger than 7, then, the set between -3 and 7 is not part of the solution. the solution in fact is

[tex]S=(-\infty,-3)\cup(7,+\infty)[/tex]

Let's do it in the graph!

The solution to the inequations is in blue on the graph.

View image JoaoF439578
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