Question - Solving Inequalities with Negative Square Roots
Solution:
The image displays an inequality involving the negative square root of 122, which is written as "-√122". To solve the inequality, we will first find the value of √122.√122 ≈ 11.045 (rounded to three decimal places)Since we need the negative square root, we take the negative of this value:-√122 ≈ -11.045Now, if the inequality signs in the image are meant to encapsulate values around -√122, we would be looking for numbers that are slightly less than and slightly greater than -11.045.Thus, any number less than -11.045 will fulfill the left part of the inequality, and any number greater than -11.045 will fulfill the right part of the inequality.To be clear, without the specific values or context for what numbers should be on either side of the inequality signs, we can't provide an exact numerical range. The inequality simply indicates numbers less than and greater than approximately -11.045. If the problem is asking for integers, the integers immediately less than and greater than -11.045 are -12 and -11, respectively.
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