if -5<x<8 and -10<y<4 what is the range of xy?
i don't understand why u are supposed to multiply -5 and 4 together as well as 8 and -10 together
suppose you make two columns of numbers
one column for the x's from -5 to 8
another for the y's from -10 to 4
to get xy you would have to take a number from the first column and multiply by a number from the second column
since you labeled your post "integer-math" there is a definite number of such xy's
how many would there be?
which would be the first one?
which would be the last one?
What is the smallest product xy you could get?
what is the largest product xy you could get?
xy's:
(-5)(-10) =
(-5)(-9) =
(-5)(-8) =
.
.
(8)(3) =
(8)(4) =
write your answer in the form
?? < xy < ???
I hate you guys so much
what you should do is let us ask an integer question and you answer it... ha ha
Briyanna
To find the range of xy given the inequalities -5 < x < 8 and -10 < y < 4, we need to consider all possible combinations of x and y values within these intervals and determine the resulting range of xy.
Let's break this down step by step:
1. The first inequality states that -5 is less than x, which means x can take any value greater than -5.
2. The second inequality states that x is less than 8, which means x can take any value less than 8.
3. Combining the two inequalities, we can conclude that x can take any value in the interval -5 < x < 8.
Similarly,
4. The first inequality states that -10 is less than y, which means y can take any value greater than -10.
5. The second inequality states that y is less than 4, which means y can take any value less than 4.
6. Combining the two inequalities, we can conclude that y can take any value in the interval -10 < y < 4.
Now let's consider the range of xy:
To find the maximum and minimum values of xy, we need to consider the extreme boundaries of both x and y intervals. The extreme values of xy occur when x and y take their smallest and largest possible values.
The smallest possible value occurs when x = -5 and y = -10.
The largest possible value occurs when x = 8 and y = 4.
Now, let's calculate the range of xy:
Range of xy = (smallest value of xy) to (largest value of xy)
= (-5) * (-10) to (8) * (4)
= 50 to 32
= 18
Therefore, the range of xy is 18.
Regarding your confusion about why we multiply -5 and 4 as well as 8 and -10 together, it is because in the range of xy, we need to consider all possible pairs of x and y values. Multiplying x and y together for each pair gives us the resulting xy value, and by comparing these values, we can determine the range. In this case, the multiplication of -5 and 4 as well as 8 and -10 together gives us the smallest and largest possible values of xy within the given intervals.