31.4k views
5 votes
11 < √x < 12, what value of "x" makes the statement true?

a) 3
b) 4
c) 130
d) 150

User Greg Dan
by
8.0k points

1 Answer

6 votes

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.

User Vihkat
by
8.0k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories