When we build integers from natural numbers, we're looking for additive inverse of natural numbers?
What's an additive inverse? Well, for example, the additive inverse of 2 is a numbers 
such that
We call this number -2. So, the real meaning behind the negative sign is "if you add me and my positive counterpart, the result is zero".
So, -5 is the additive inverse of 5, -16 is the additive inverse of 16, and so on, because
Note that this is a symmetrical relation: if -5 is the inverse of 5, it is also true that 5 is the inverse of -5.
So, when you write something like
it means that you want to add 5 and the inverse of the inverse of 4. But given what we just said, the inverse of the inverse of a number is the number itself, which is why subtracting a negative number is the same as adding it.
The easiest way to find the answer is to convert all of the units into inches and solve it with basic addition. We know that 1 foot equals 12 inches and that 1 yard equals 36 inches. With this in mind, we know the first board is 34 inches long, and the second board is 57 inches long. Now we can just add these together, which yields a result of 91 inches long. To simplify this, we need to start by dividing by 36. Solving that gives us 2, so we know that we have 2 yards. It also leaves 19 inches left over. We can now divide that by 12 to calculate how many feet there are. This shows us we have 1 foot with 7 inches left over.
To summarize, the length of the boards put together is 2 yards, 1 foot, and 7 inches, or 91 inches.
You have 3n. You want n, so divide all three sides by 3.
-15 < 3n <= 6
-5 < n <= 2
n is an integers and must be greater than -5 and can be as great as 2.
n can be -4, -3, -2, -1, 0, 1, 2
The given equation -2(11 - 12x) = -4(1 - 6x) has infinite solutions
<u><em>Solution:</em></u>
Given that we have to solve the given expression
Given expression is:
-2(11 - 12x) = -4(1- 6x)
We have to use distributive property to solve the given expression
The distributive property lets you multiply a sum by multiplying each addend separately and then add the products.
Which means,
a(b + c) = ab + ac
Apply this in given expression
-2(11 - 12x) = -4(1-6x)
-22 + 24x = -4 + 24x
When both sides of the equation are simplified, the coefficients are the same, then infinite number of solutions occur
If we end up with the same term on both sides of the equal sign, such as 24x = 24x, then we have infinite solutions
