Example Question - cube root of 107

Completing Inequalities with Cube Root of 107

The image shows an incomplete mathematical statement involving an inequality with the cube root of 107, with two empty boxes indicating missing values that should be placed to make the inequality correct. To find the numbers that fit into these boxes, we need to consider the cube root of 107. Since \(4^3 = 64\) and \(5^3 = 125\), the cube root of 107 must be between 4 and 5 because 107 is between 64 and 125. Now the statement should read as follows to make the inequalities true: \[4 < \sqrt[3]{107} < 5\] So the numbers that fit into the boxes are 4 and 5.