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Simplify the inequality. Graph it, write it in interval notation, and then inequality notation. Write your answer in interval notation.3x+2<−4 or 3x+3>27Clear All Draw: Line segments interval inequality

Simplify The Inequality Graph It Write It In Interval Notation And Then Inequality Notation Write Your Answer In Interval Notation3x2lt4 Or 3x3gt27Clear All Dra class=

Answer :

given the inequality

[tex]3x+2<−4\text{ }or\text{ }3x+3>27[/tex]

then

[tex]3x<−4-2\text{ }or\text{ }3x>27-3[/tex][tex]3x<−6\text{ }or\text{ }3x>24[/tex][tex]x<−2\text{ }or\text{ }x>8[/tex]

Graph:

notice the empty circle because the ineqaulity does not have equal symbol

interval:

[tex]\left(-\infty \:,\:-2\right)\cup \left(8,\:\infty \:\right)[/tex]

inequality:

[tex]x<-2\text{ }or\text{ }x>8[/tex]

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