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Mathematics 17 Online
OpenStudy (theviper):

1.)|x-3|>5 2.)x^2-9<0 Help:)

Parth (parthkohli):

1) \( \color{Black}{\Rightarrow x - 3 > \pm 5 }\) 2) \( \color{Black}{\Rightarrow (x + 3)(x - 3) <0 }\)

Parth (parthkohli):

Can you do it now?

OpenStudy (theviper):

nt getting it:/

Parth (parthkohli):

Which one are you not getting? I'd be glad to help you :)

OpenStudy (theviper):

lol both

Parth (parthkohli):

I see. Do you know the meaning of \(\pm\)?

OpenStudy (theviper):

yes \[\pm5=\text{-5 or+5}\]

Parth (parthkohli):

Yes. So we have two equations, don't we?

OpenStudy (theviper):

yes we have

Parth (parthkohli):

In the second one you use the zero product rule, it's just that we have an inequality :D

OpenStudy (theviper):

K! now I got them both:)

Parth (parthkohli):

Good job! The key to solving inequalities is replacing < or > with =

Parth (parthkohli):

Just that when you multiply or divide a negative, you change the direction of the sign.

OpenStudy (theviper):

k! thanx a lot to make me understand this:)

Parth (parthkohli):

Glad to help again! :D

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