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-7x>-2(x+15)<10

 Aug 26, 2016
 #1
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-7x>-2(x+15)<10    

 

Let's take these equations in pairs

 

For the first pair we have

 

-7x > -2(x + 15)

 

-7x > -2x - 30    add 2x  to both sides

 

-5x > -30          divide everything by -5 and reverse the inequality sign

 

x < 6

 

 

For the second pair, we have

 

-2(x + 15) < 10

 

-2x - 30 < 10    add 30 to both sides

 

-2x < 40       divide both sides by -2 and reverse the inequality sign

 

x > -20

 

So........the interval that solve this is  (-20, 6)  or, in another form  →   -20 < x < 6

 

 

 

 

cool cool cool

 Aug 26, 2016

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