Solve the inequality (n-7)> 2n-3. write the solution in set notation.

n  = {n | n ∈ R,  n < -4}

The given inequality is:

n  -  7   >  2n  -  3

Collect like terms

n  -  2n  >   -3  +  7

-n    >   4

Multiply both sides by -1 and change the sign to <

-1(-n)  <  -1(4)

n    <   -4

In set notation:

n  = {n | n ∈ R,  n < -4}

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- 4 > n and Notion form : [ -4 , -∞).

Step-by-step explanation:

Given : (n-7)>2n-3.

To find : Solve the inequality.

Solution : We have given

(n - 7) > 2 n - 3.

On adding both sides by 3

n - 7+ 3 > 2n .

n - 4 > 2n .

On subtracting b both sides by n

-4 > 2n -n.

- 4 > n.

So, we can say value of n is less  than - 4 like -5,-6, -7 -∞

Notion form : [ -4 , -∞).

Therefore, - 4 > n and Notion form : [ -4 , -∞).

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