Question 119855


{{{-7x<14}}} Start with the first inequality




{{{x>(14)/(-7)}}} Divide both sides by -7 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 first answer is {{{x>-2}}} 




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{{{3x+2<8}}} Start with the second inequality




{{{3x<8-2}}}Subtract 2 from both sides



{{{3x<6}}} Combine like terms on the right side



{{{x<(6)/(3)}}} Divide both sides by 3 to isolate x 




{{{x<2}}} Divide


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Answer:

So our second answer is {{{x<2}}} 




So we have the answers:


{{{x>-2}}} and {{{x<2}}} 



which combine to the compound inequality



{{{-2<x<2}}}