Final answer:
To determine which number is not a solution to the inequality, we can substitute each value into the inequality and see if it holds true. After simplifying the expressions, we find that option a) -10 is not a solution to the inequality.
Step-by-step explanation:
To determine which number is not a solution to the inequality, we can substitute each value into the inequality and see if it holds true.
For option a) -10, we substitute it into the inequality:
1/(75−2(-10)) > 392/(-10)
After simplifying the expression, we get:
-0.013 > -39.2
The inequality does not hold, therefore option a) -10 is not a solution to the inequality.
We can do the same for options b), c), and d) to verify if they are solutions or not.
Option b) 8:
1/(75−2(8)) > 392/8
After simplifying, we get:
0.019 > 49
The inequality holds, so option b) 8 is a solution to the inequality.
Option c) 15:
1/(75−2(15)) > 392/15
After simplifying, we get:
0.033 > 26.133
The inequality holds, so option c) 15 is a solution to the inequality.
Option d) 20:
1/(75−2(20)) > 392/20
After simplifying, we get:
0.043 > 19.6
The inequality holds, so option d) 20 is a solution to the inequality.
Therefore, the number that is not a solution to the inequality is option a) -10.