The number n satisfies the relationship n > 0. Write three inequalities to express the relationship between n and 1/n.

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If n<1, n < 1/n

If n=1, n = 1/n
If n>1, n > 1/n

Write an inequality to express the relationship of -12.3 and -12.03 *

Equals -12.3 > -12.03

To express the relationship between n and 1/n, we can write three inequalities as follows:

1) n > 0 : This is the given relationship that n is greater than 0.

2) n * (1/n) > 0 : This inequality states that the product of n and 1/n is greater than 0, implying that both n and 1/n must be either positive or negative.

3) n^2 / n > 0 : This inequality involves squaring n and dividing by n. Since n > 0, dividing by a positive value preserves the inequality, resulting in n > 0.

To express the relationship between n and 1/n, we need to follow these steps:

Step 1: Start with the given relationship "n > 0".

Step 2: Express 1/n. To do this, we can take the reciprocal of both sides of the inequality. Since n > 0, we know n is positive, so we can safely take the reciprocal without changing the direction of the inequality.

Reciprocal of 1/n is n/1, which simplifies to just n.

So, 1/n is simply n.

Step 3: Write the three inequalities:

1) n > 0 (the original relationship)

2) n > 1/n (which is essentially n > n)

3) 1/n > 0 (which is essentially n > 0)

These three inequalities express the relationship between n and 1/n.