Find the solution set for the inequality.
-x +5 1 - 18 > x +8 1

Question

Find the solution set for the inequality. -x +5 1 - 18 > x +8 1 A){x|x > 23 } B){x|x > 6} C){x|x < 23 } D){x|x < - 138 }

Quizplus · Accepted Answer

First, simplify the inequality by cancelling out the terms on both sides that are the same (in this case, x + 1):
x + 5 - 18 > x + 8
Then, simplify the inequality further by combining like terms:
x - 13 > x + 8
Subtract x from both sides:
-13 > 8
This is a false statement, which means there is no solution. However, if you assume there is a solution, you would get:
0 > 21
This is also a false statement. Therefore, the solution set is empty or void. In interval notation, this can be represented as "∅" or "{ }". 
However, if you were to choose a solution set based on the answer choices provided, the only option that comes close is A. But even A is not correct, as there is no solution.

Find the Solution Set for the Inequality