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4 votes
3+1/2(5-x)<-5

the solution is______​

2 Answers

0 votes

Answer:

x > 21

I hope this helps!

User Mhaken
by
8.0k points
4 votes

Answer:


x>21

Explanation:


3+1/2(5-x)<-5\\\\3 + (1)/(2) (5-x)< -5\\\\\mathrm{Subtract\:}3\mathrm{\:from\:both\:sides}\\3+(1)/(2)\left(5-x\right)-3<-5-3\\\\Simplify\\(1)/(2)\left(5-x\right)<-8\\\\\mathrm{Multiply\:both\:sides\:by\:}2\\2\cdot (1)/(2)\left(5-x\right)<2\left(-8\right)\\\\Simplify\\5-x<-16\\\\\mathrm{Subtract\:}5\mathrm{\:from\:both\:sides}\\5-x-5<-16-5\\\\Simplify\\-x<-21\\\\Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)\\


\left(-x\right)\left(-1\right)>\left(-21\right)\left(-1\right)\\\\Simplify\\x>21

User Jtromans
by
8.8k points

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