Question

What is the BEST estimate for the value of x in this inequality?

9.2 < x < 9.3

A)

80

B)

82

C)

85

D)

87

everything is also square rotted but i cant get the sign to show up

Answer 1

C

Explanation:

For the expression 9.2 < √x < 9.3, solve for x by squaring all the terms. This will remove the square root sign on the variable x and isolate it. The solution for x will be between the resulting two numbers.

9.2² < √x² < 9.3²

84.64 < x < 86.49

This means x is greater than 84.64 but less than 86.49. Only the number 85 listed here satisfies this inequality. Answer C is correct.