Question 97208
"solve: -2+x > 8"


{{{-2+x>8}}} Start with the given inequality



{{{x>8+2}}}Add 2 to both sides



{{{x>10}}} Combine like terms on the right side


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Answer:

So our answer is {{{x>10}}} 




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"solve:-14x< -42"




{{{-14x<-42}}} Start with the given inequality



{{{x>(-42)/(-14)}}} Divide both sides by -14 to isolate x (note: dividing by both sides by a negative number flips the inequality sign)




{{{x>3}}} Divide


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Answer:

So our answer is {{{x>3}}} 



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"solve:9-8y>-14 +7y +35"





{{{9-8y>-14+7y+35}}} Start with the given inequality



{{{9-8y>7y+21}}} Combine like terms on the right side



{{{-8y>7y+21-9}}}Subtract 9 from both sides



{{{-8y-7y>21-9}}} Subtract 7y from both sides



{{{-15y>21-9}}} Combine like terms on the left side



{{{-15y>12}}} Combine like terms on the right side



{{{y<(12)/(-15)}}} Divide both sides by -15 to isolate y (note: dividing by both sides by a negative number flips the inequality sign)




{{{y<-4 / 5}}} Reduce


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Answer:

So our answer is {{{y<-4 / 5}}}  (which is {{{y<-0.8}}} in decimal form)




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"solve for a: 5a +6b = 7c "





{{{5a+6b=7c}}} Start with the given equation



{{{5a=7c-6b}}}Subtract 6b from both sides



{{{a=(7c-6b)/(5)}}} Divide both sides by 5 to isolate a



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Answer:

So our answer is {{{a=(7c-6b)/(5)}}}