Example Question - understanding inequalities

Understanding Inequalities with Square Root of 2

The image shows two inequality signs surrounding the square root of 2 (√2), with blanks where numbers would be. To solve this problem, you need to find two numbers that are consecutive integers where the square root of 2 fits between them. The square root of 2 is approximately 1.414. It is more than 1 but less than 2. Therefore, the two integers that would fit on either side of √2 would be 1 and 2. The inequality then reads as: 1 < √2 < 2 This indicates that the square root of 2 is greater than 1 but less than 2.