Respuesta :
Answer:
- 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 , -∞).
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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