A number 𝑥, when rounded to 2 decimal places, is equal to 0.84Find the upper and lower bound of 𝑥.

When a number is rounded to two decimal places, the number is approximately in the middle of an interval. The interval is determined by the precision of the rounding, which in this case is two decimal places or 0.01.

1. Lower Bound: The lower bound is found by subtracting half of the precision from the rounded number. So, 0.84 - 0.005 = 0.835. This means that any number greater than or equal to 0.835 would be rounded up to 0.84.

2. Upper Bound: The upper bound is found by adding half of the precision to the rounded number. So, 0.84 + 0.005 = 0.845. However, because we're looking for the upper bound, we need to consider that any number less than 0.845 would be rounded down to 0.84. So, the upper bound is actually just below 0.845.

So, the number x, when rounded to two decimal places, could be any number in the interval [0.835, 0.845).