Find the solution set of each of the following inequations in the given domain. x+12< 4x – 2, x e N

Since x is a natural number, this is the same as saying x > 4

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Explanation:

Let's solve for x

Since , this means x is a natural number and a value from the set {1,2,3,4,...} aka the set of positive whole numbers. Zero is not in the set of natural numbers.

So we'll need to round that 4.667 to the nearest whole number to get x ≥ 5

If we were to replace x with anything from the set {5, 6, 7, 8, ...}, then that would make the original inequality to be true.

The notation x ≥ 5 and x > 4 are identical when x is a natural number, because we're describing the same solution set of any whole number 5 or larger.