Question

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

the solution is______​

Answer 1

x > 21

I hope this helps!

Answer 2

`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`