Answer to Question #236784 in Algebra for CCW

Question #236784

Polynomial Inequalities:

8) x^2 + 7x < -12

show number line test and answer in interval notation

Expert's answer

"x^2+7x<-12\\\\\n\\Rightarrow x^2+7x+12<0\\\\\n\\Rightarrow x^2+3x+4x+12<0\\\\\n\\Rightarrow x(x+3)+4(x+3)<0\\\\\n\\Rightarrow (x+3)(x+4)<0\\\\"

"\\therefore x\\in(-4,-3)"

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