Question 225008: (X+4)(X+6)<=0
Answer by RAY100(1637)   (Show Source):
You can put this solution on YOUR website! Check (x+6)(x+4) =0
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x=-6,,-4
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Now using a number line lets check each section to see if it satisfied the inequality
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a______-6______b_____-4______c______
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let a = -7,,,,(-7+6)(-7+4) = (-1)(-3) = +3,,,vs <= 0,,,,not true
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Let b= -5,,,,,(-5+6)(-5+4) = (1)(-1) =-1,,,,vs <=0,,,,,,true
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Let c= -3,,,,(-3+6)(-3+4) =(3)(1) = +3,,,,vs <=0,,,,not true
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also check,,,x=-6,,,,(-6+6)(6+4) = 0,,,,,vs <=0,,,,ok
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and also ,,,,x=-4,,,,,(-4+6)(-4+4) =0 ,,,,vs <=0,,,,ok
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Therefore,,,,-6<=1x<=-4,,,,,,answer
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