# 10 men can build a house in 6 months, how many men would it take to build the house in 4 months?

This assumes the additional men have the same capabilities and capacities as the first

The time to do the work has become a fraction of what it was, so we will definitely need more men.

But, before we do that, we need to tip over (invert) the fraction because we know as the time gets shorter, the number of men must increase. This relationship is called an inverse (like inverted) proportionality.

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An illustration of inverse proportion is this.

MORE men will be required if the house is to be built in a SHORTER amount of time.

One quantity falls as the other rises.

Finding that constant is the first step, as you can use it to find any unknown value.

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To build the house in 4 months, it would require 15 men.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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