Explanation is in the file
tinyurl.com/wpazsebu
Answer:
True, True, False
Step-by-step explanation:
A, C and E all work in the equations. In order for them to work, you must use the ordered pair in each of the three situations. Below is the work for all of the correct answers.
Ordered Pair A : (1, -1)
y < x + 1
-1 < 1 + 1
-1 < 1 (TRUE)
y < 4
-1 < 4 (TRUE)
x < 6
1 < 6 (TRUE)
Ordered Pair C : (4, 2)
y < x + 1
2 < 4 + 1
2 < 5 (TRUE)
y < 4
2 < 4 (TRUE)
x < 6
5 < 6 (TRUE)
Ordered Pair E : (4, -2)
y < x + 1
-2 < 4 + 1
-2 < 5 (TRUE)
y < 4
-2 < 4 (TRUE)
x < 6
4 < 6 (TRUE)
Answer:
Any number less than 1
Step-by-step explanation:
Let x be the number Lin multiplies by 7/8. So, we have:
(7/8)*x < 7/8
We need to find the possible values for x. Lets start by dividing both sides of our inequality by (7/8) in order to get x alone on the left side.
(7/8)*x / (7/8) < (7/8)/(7/8)
Reordering:
(7/8) / (7/8) * x < (7/8)/(7/8)
As any number divided by itself (except from 0) is equal to 1:
x < 1
So, the number that Lin multiplied by 7/8 MUST be less than 1. This is evident, as any positive number multiplied by a number less than 1 will decrease, doesn't matter if its a negative or positive number.
So, such number is less than 1. Any number less than 1 could be Lin's number.
