The solution to given inequality is x < -1
Solution:
Given is a inequality
[tex]9-x>10[/tex]
We have to solve the inequality
[tex]9-x>10\\\\\mathrm{Subtract\:}9\mathrm{\:from\:both\:sides}\\\\9-x-9>10-9\\\\\mathrm{Simplify}\\\\-x>1\\\\\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}[/tex]
Whenever you multiply or divide an inequality by a negative number, you must flip the inequality sign.
[tex]\left(-x\right)\left(-1\right)<1\cdot \left(-1\right)\\\\\mathrm{Simplify}\\\\x <-1[/tex]
Thus the solution to given inequality is x < -1
