Question - Solving Inequalities with Square Roots
Solution:
The image seems to show an inequality with a square root, configured as two blank boxes with "< √130 <" in between. The task appears to be to find two numbers that satisfy the inequality where the left number is smaller than the square root of 130 and the right number is larger than the square root of 130.To solve for the inequality, we need to calculate the square root of 130. Since √130 is not a perfect square, we'll get a decimal answer. Using a calculator or an appropriate method, we find that √130 is approximately 11.4018.Therefore, we need two numbers such that the one on the left is less than 11.4018 and the one on the right is more than 11.4018. Two such integers could be 11 and 12, respectively. However, any two numbers that fit the criteria -- for example, 11.3 (left) and 11.5 (right) -- would be a correct answer to fill in the boxes.In the given inequality, the blank boxes could be filled in as follows for an integer solution:11 < √130 < 12
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