A number 𝑥, when rounded to 2 significant figures, is equal to 2.4Find the upper and lower bound of 𝑥.

To find the upper and lower bounds of a number when it is rounded to a certain number of significant figures, you need to consider what the number could have been before rounding.

1. First, let's consider the lower bound. The number x was rounded to 2.4, so it must have been at least this number before rounding. However, because we are rounding to two significant figures, the number could have been slightly less than 2.4. The next lowest number with two significant figures is 2.35. So, the lower bound of x is 2.35.

2. Now, let's consider the upper bound. The number x was rounded down to 2.4, so it must have been less than the next highest number with two significant figures. The next highest number with two significant figures is 2.45. So, the upper bound of x is 2.45.

Therefore, the number x, when rounded to 2 significant figures, could have been any number between 2.35 and 2.45.