Solving compound linear inequalities

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▸ ▸ ▸ ▸ » Solving compound linear inequalities

kayla_coop Posts: 1, Reputation: 1

New Member

#1

Sep 29, 2007, 11:47 AM

Solving compound linear inequalities

2p-2 is lssthan/equalto 4p-8is lessthan/equalto 3p-3

Could you help me:confused:

galactus Posts: 2,271, Reputation: 282

Ultra Member

#2

Sep 29, 2007, 01:25 PM

There are different approaches.

$2p-2\leq{4p-8}\leq{3p-3}$

Factor:

$2(p-1)\leq{4(p-2)}\leq{3(p-1)}$

Divide by p-1:

$2\leq{4(\frac{p-2}{p-1})}\leq{3}$

$2\leq{4-\frac{4}{p-1}}\leq{3}$

$2\geq{\frac{4}{p-1}}\geq{1}$

Now, can you finish.

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