SOLUTION: Find the solution for inequality. Write the answer in interval notaion. 8x-(5-x)>11x+1 I got x<3 as my final answer. How do I write that in function notaion? Also, if you co

Question 222863: Find the solution for inequality. Write the answer in interval notaion.
8x-(5-x)>11x+1
I got x<3 as my final answer. How do I write that in function notaion? Also, if you could explain what function notation is. I think it would be f(x)<3.
Answer by rapaljer(4671) (Show Source): You can put this solution on YOUR website!
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
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