High School

Upper and Lower Bounds

Brian weighs himself at 84 kg to the nearest kg.

What is the most he could weigh?

Give the upper bound as your answer.

Answer :

Thus, the most he could weigh that is the upper bound of the given condition is 84kg.

What about weigh?

The word "weigh" is not frequently used by itself in arithmetic. The notion of weight or mass, for example, can be used when measuring or comparing quantities. While mass is a measurement of the quantity of matter inside an object, weight is a measure of the gravitational force acting on it. Weight can be viewed as the force a standard gravitational field applies to an object in the setting of measurement. Weight or mass may be denoted in mathematical equations by variables such as "w" or "m," and the units used to measure them may change based on the situation.

Define upper bound:

In mathematics, an upper bound is a number that is greater than or equal to all the elements in a given set. More formally, let S be a set of real numbers. A number u is an upper bound for S if and only if for all x in S, we have x ≤ u.

For example, consider the set S = {2, 4, 6, 8}. The number 10 is an upper bound for S because 2 ≤ 10, 4 ≤ 10, 6 ≤ 10, and 8 ≤ 10. However, the number 7 is not an upper bound for S because 8 > 7.

Note that an upper bound need not be an element of the set S itself. For instance, the set of all negative real numbers does not have any upper bound among the negative real numbers, but 0 is an upper bound for this set.

It's worth noting that an upper bound may or may not be a member of the set S. If an upper bound is a member of S, then it is called a "maximum" or "greatest" element of S. However, if an upper bound is not a member of S, then S has no maximum element.

According to the given information:

Brain weigh himself at 84kg to the nearest kg as (given) , because uses the method of round off.

Thus, the range of weigh:

⇒ 83.5 ≤ Weigh ≤ 84.4.

Thus, the most he could weigh is 84.4kg.

To know more about upper bound visit:

https://brainly.com/question/22965427

#SPJ1