Answer:
Below
Step-by-step explanation:
Given Data:
- The sum of two numbers is less than 2
- If we subtract the second number from the first , the difference is greater than 1
Q) What are the two numbers?
Lets suppose the first number to be x and the second number to be y
The first point states sum of two number which is x + y is less than 2 so our first expression becomes,
![x+y](https://tex.z-dn.net/?f=x%2By%3C2)
The second point states that the if we subtract the second number from the first number which states x - y the difference is greater than 1 so our second expression becomes,
![x-y](https://tex.z-dn.net/?f=x-y%3C1)
1) The riddle can be represented by a system of inequalities. Write an inequality for each statement.
The inequality for the first statement is
![x+y](https://tex.z-dn.net/?f=x%2By%3C2)
The inequality for the second statement is
I assume the second part to the question would be solve for x and y xD
so here goes
2)
If we just simply add both the equations we get the following result:
![x+x+y-y=2+1](https://tex.z-dn.net/?f=x%2Bx%2By-y%3D2%2B1)
Just suppose there is an equal to sign instead of less than or greater than
![x+x+y-y=2+1\\2x+0=3\\x=3/2\\x=1.5\\](https://tex.z-dn.net/?f=x%2Bx%2By-y%3D2%2B1%5C%5C2x%2B0%3D3%5C%5Cx%3D3%2F2%5C%5Cx%3D1.5%5C%5C)
now put the value of x in any one of the two equations I choose equation 1
![x+y=2\\1.5+y=2\\y=2-1.5\\y=0.5](https://tex.z-dn.net/?f=x%2By%3D2%5C%5C1.5%2By%3D2%5C%5Cy%3D2-1.5%5C%5Cy%3D0.5)
I attached an image so you can understand it better :)