Question - Completing Inequality with Approximate Value
mathsquare root approximationinequality completionapproximate value calculationincomplete inequality
Solution:
The image shows an incomplete inequality, where the middle term is "-√122", and there are inequality signs facing outwards on either side. To complete the inequality meaningfully, we should consider the value of "-√122".First, we calculate the square root of 122. Since 122 is not a perfect square, its square root will be irrational and can't be simplified into an exact integer or simple fraction. However, we can approximate this value.√122 ≈ 11.04536Now we take the negative of this value to match the term in the inequality:-√122 ≈ -11.04536So, the center term of the inequality is approximately -11.04536. The inequality symbols suggest that the missing numbers should be less than this value on the left side and greater than this value on the right side.Given the context of the problem and based on what is shown in the image, a complete statement could be:Some number x < -√122 < Some number ywhere x is less than approximately -11.04536 and y is greater than approximately -11.04536. The actual values of x and y were not provided in the image.
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