Question

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

the solution is______​

Answer 1

Answer:

$x>21$

Step-by-step explanation:

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

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

Answer 2

Answer:

x > 21

I hope this helps!