SOLUTION: solve using the addition principle. Graph and write set-builder notation for the answer x-1/11>1/8

Algebra ->  Inequalities -> SOLUTION: solve using the addition principle. Graph and write set-builder notation for the answer x-1/11>1/8      Log On


   



Question 983987: solve using the addition principle. Graph and write set-builder notation for the answer
x-1/11>1/8

Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
To solve the inequality exactly according to what you show, without x-1 being associated as separate,

x-1/11>1/8
x-1%2F11%3E1%2F8
x-1%2F11%2B1%2F11%3E1%2F8%2B1%2F11-----using additive inverse
x%3E1%2F8%2B1%2F11
x%3E%281%2F8%29%2811%2F11%29%2B%281%2F11%29%288%2F8%29
x%3E%2811%2B8%29%2F88
highlight%28x%3E19%2F88%29


Attempt at representing a graph:
<------------------|----------()=========================|=============>
                  0          19%2F88                         1

The double marking indicates filled-in point and the single marking indicates nonincluded points; the empty parentheses is for the critical value boundary between solution points and nonsolution points. Note that this is a strict inequality, and that 19%2F88 is NOT part of the solution.