Final answer:
To solve the inequality 11 < √x < 12, we square all parts to get 121 < x < 144. The only option that fits this range is c) 130, as the other values are either too low or too high.
Step-by-step explanation:
The given inequality is 11 < √x < 12. To find the value of "x" that makes this statement true, we need to square each part of the inequality to eliminate the square root, which yields 121 < x < 144. Now, we must compare the possible values given in the options to this range to determine which one fits:
- a) 3, which is not greater than 121
- b) 4, which is not greater than 121
- c) 130, which is greater than 121 and less than 144
- d) 150, which is greater than 144
Only option c) 130 is within the range 121 < x < 144, making it the correct choice.