Question 115536
{{{-4(2x+3)-2(x+4)<0}}} Start with the given inequality




{{{-8x-12-2x-8<0}}} Distribute



{{{-10x-20<0}}} Combine like terms on the left side



{{{-10x<0+20}}}Add 20 to both sides



{{{-10x<20}}} Combine like terms on the right side



{{{x>(20)/(-10)}}} Divide both sides by -10 to isolate x  (note: Remember, dividing both sides by a negative number flips the inequality sign) 




{{{x>-2}}} Divide


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Answer:

So our answer is {{{x>-2}}} which is *[Tex \LARGE \left(-2,\infty\right)] in interval notation