Question 222863
You are supposed to write this in INTERVAL NOTATION.


8x-(5-x) >11x+1
8x-5+x>11x+1
9x-5 >11x+1


Subtract 11x from each side:
9x-11x-5>11x-11x +1
-2x-5>1


Add +5 to each side:
-2x-5+5 >1+5
-2x>6


Divide both sides by -2.  Remember, when you divide both sides of an inequality by a NEGATIVE, you have to REVERSE the INEQUALITY:

x<-3


Interval notation is always given on a numberline from LEFT to RIGHT.  This is from -inf to -3.  Do NOT include the endpoints, so use parentheses instead of brackets .


Final answer:  (-inf, -3)


R^2


Dr. Robert J. Rapalje, Retired