Solving inequalities for word problems:
1 answer:
For this case we have to:
x: Let the variable representing the unknown number
We algebraically rewrite the given expression:
Twice a number plus 10, is represented as:
Three times that number less 4. is represented as:
Thus, the complete expression is:
Subtracting 3x from both sides of the inequality:
Subtracting 10 from both sides of the inequality:
Equal signs are added and the same sign is placed:
We multiply by -1 on both sides, taking into account that the sense of inequality changes:
The solution is given by all values of "x" less than 14.
Answer:
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The general term is 
(a sub n; n is a subscript)
The first term is a1
The second term is a2
The third term is a3
and so on...
The first term starts at n = 1. We replace the n in with 1 to get 
. A similar thing happens with n = 2 and onward
The domain is therefore the set {1, 2, 3, 4, 5, ...} which is the set of...
* Counting numbers
* Positive Whole numbers
* Natural numbers
Those are three ways to express the same set
We can also say
where n is an integer or whole number
A similar inequality would be
which is effectively the same as idea as the last inequality (n is also an integer or whole number).
The first term is a1
The second term is a2
The third term is a3
and so on...
The first term starts at n = 1. We replace the n in
The domain is therefore the set {1, 2, 3, 4, 5, ...} which is the set of...
* Counting numbers
* Positive Whole numbers
* Natural numbers
Those are three ways to express the same set
We can also say
A similar inequality would be
Answer:
[See Below]
Step-by-step explanation:
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➜ To solve this, we have to subtract:
➜ To make sure we are correct, we add:
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So your answer would be .
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