Please help me with this math question i dont understand where to start. Please Explain How you got the answer (If you cant then its fine) :)
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The sum of two numbers is less than or equal to 28. The second number is 2 less than the first. What are the possible values for the first of the two numbers?
In your answer, denote the first number by x .
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The sum of two numbers is less than or equal to 28. The second number is 2 less than the first. What are the possible values for the first of the two numbers?
In your answer, denote the first number by x .
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Since the word sum is used, we can assume that addition is used; another words something plus something is less than or equal to 28.
Now the first number is X.
The second number is 2 less than the first, and since the first number is X, you can write the second number as (X - 2).
Now you have everything you need to set up the equation:
X + (X - 2) ≤ 28
Since the sign before the bracket is positive, you can remove the bracket without the values changing. This gives you:
X + X - 2 ≤ 28
which in turn gives you
2X - 2 ≤ 28
Now solve for X like in a regular equation.
Add 2 to both sides of the ≤ sign gives you
2X ≤ 30
Divide both sides by 2 gives you
X ≤ 15
So a possible number for our "first number X" is 15.
Remember that the second number is X - 2, which would mean 15 - 2 =13.
You only want to know the first though, so your answer would be 15.
Now the first number is X.
The second number is 2 less than the first, and since the first number is X, you can write the second number as (X - 2).
Now you have everything you need to set up the equation:
X + (X - 2) ≤ 28
Since the sign before the bracket is positive, you can remove the bracket without the values changing. This gives you:
X + X - 2 ≤ 28
which in turn gives you
2X - 2 ≤ 28
Now solve for X like in a regular equation.
Add 2 to both sides of the ≤ sign gives you
2X ≤ 30
Divide both sides by 2 gives you
X ≤ 15
So a possible number for our "first number X" is 15.
Remember that the second number is X - 2, which would mean 15 - 2 =13.
You only want to know the first though, so your answer would be 15.
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x + (x – 2) ≤ 28
2x ≤ 30
x≤ 15
x can be anything from –infinity up to 15.
You are probably dealing with just positive integers so you might want to make the range 1 to 15
2x ≤ 30
x≤ 15
x can be anything from –infinity up to 15.
You are probably dealing with just positive integers so you might want to make the range 1 to 15