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,
[tex]x+y<2[/tex]
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,
[tex]x-y<1[/tex]
1) The riddle can be represented by a system of inequalities. Write an inequality for each statement.
The inequality for the first statement is
[tex]x+y<2[/tex]
The inequality for the second statement is
[tex]x-y>1\\[/tex]
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:
[tex]x+x+y-y=2+1[/tex]
Just suppose there is an equal to sign instead of less than or greater than
[tex]x+x+y-y=2+1\\2x+0=3\\x=3/2\\x=1.5\\[/tex]
now put the value of x in any one of the two equations I choose equation 1
[tex]x+y=2\\1.5+y=2\\y=2-1.5\\y=0.5[/tex]
I attached an image so you can understand it better :)
