The image shows a question that asks to write an inequality based on the statement provided. The statement reads: "x is less than x, and x is less than 6." However, the statement that "x is less than x" is incorrect because it implies that a number is less than itself, which is not possible (as a number is always equal to itself). If it's a typographical error and the question simply means to express that "x is less than 6", the correct inequality to write is: x < 6 This inequality uses x only once and correctly shows that x is a number less than 6.
The task here appears to be to fill in the blanks with numbers to make the inequality statement true, with the middle term being the square root of 68. To solve this, we first find the approximate value of the square root of 68. We know that: - √64 = 8 - √81 = 9 Since 68 is between 64 and 81, √68 will be between 8 and 9. Now that we know √68 is between 8 and 9, we can fill in the blanks with numbers to make the statement true. A logical approach would be to use the numbers 8 and 9 since the square root of 68 is between them. The complete statement should read: 8 < √68 < 9 This means that the square root of 68 is greater than 8 and less than 9, which is a true statement.
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