At Imelda's fruit stand, you bought 5 apples and 4 oranges for $10 dollar sign, 10, and your friend bought 5 apples and 5 oranges for $11dollar sign, 11. Using this information, is it possible to determine the cost of one apple and one orange from the fruit stand? If so, what do they cost? If not, why not?

Step-by-step explanation:

we have

5apples+4 oranges=10

5apples+5oranges=11

from here we can say

5a=10-4 oranges

replace in the second equation

10-4 oranges+5oranges=11

1 orange=1 dollar

that means that 5apples =6 dollars

1apple=1.20 dollars

3< x< 5

step-by-step explanation:

|x - 4| < 1

there are two solutions, one positive and one negative.   remember to flip the inequality when taking the negative solution

x-4 < 1       x-4 > -1

add 4 to each side

x-4+4 < 1+4       x-4+4 > -1+4

x< 5                 x> 3

3< x< 5