Step-by-step explanation:
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Answer:
The solution of the given inequality n < 5
Step-by-step explanation:
<u><em>Explanation</em></u>:-
Given inequality

<u><em>Step(i)</em></u>:-
Cross multiplication '4' we get
8 n - 12 < 4 ( n +2)
8 n - 12 < 4 n + 4×2
8 n - 12 < 4 n +8
Subtracting '4 n ' on both sides, we get
8 n - 4 n - 12 < 4 n - 4 n +8
4 n - 12 < 8
<u><em>Step(ii):-</em></u>
Adding ' 12 ' on both sides , we get
4 n -12 + 12 < 8 + 12
4 n < 20
Dividing "4' on both sides , we get
n < 5
The solution is n < 5
<u><em>Conclusion:-</em></u>
The solution of the given inequality n < 5
Answer:
96
Step-by-step explanation:
Also the first one ends in divided by 1/4
Answer:

Step-by-step explanation:
Given


Required
Find the Taylor series
The Taylor series of a function is defines as:

We have:




This gives:

We have:

Differentiate

This gives:

We have:

Differentiate

This gives:

We have:

Differentiate

This gives:


So, we have:





becomes

Rewrite as:

Generally, the expression becomes

Hence:

Answer:
y ≥ -x +2
Step-by-step explanation:
The solid line has a slope of -1 and a y-intercept of 2, so its equation in slope-intercept form is ...
y = -x +2
The shaded area is above this line, and the line is part of the solution set, so we want an inequality that has "y" and the comparison symbol in this order: "y ≥" or "≤ y".
We already have an equation with "y" on the left, above, so we just need to introduce the comparison symbol:
y ≥ -x +2
Another way to write this is ...
x + y ≥ 2