Answer:
Hey great question. But I would like to point out not all fractions get smaller.. only those between 0 and 1.
For example (1/4)^2 = 1/16 ....but.... (3/2)^2 = 9/4 ... And 3/2 = 1.5 but 9/4 = 2.25....so....this gets larger
[This also assumes that the exponents are positive integers ]
Also if you try doing 1/2to the third
1/2x1/2x1/2
which is 1/8.
I think it just have numbers work.
When doing the median you first place the numbers for least to greatest, then you cross off each side until you get your middle number. If the is two middle numbers then you add the two middle numbers the divide by two. Example:
What is the median for the numbers 12,24,35,2,67,80,45,and 95? First put the numbers from least to greatest. 2,12,24,35,45,67,80,95. ( REMEMBER that if you have an even number of numbers than your going to have two medians, if you have an odd number of numbers than you will have one median!) the middle numbers are 35 and 45, so you add 45+35 which equals 80. 80 divided by 2 is 40. Hope my example helped you understand this! :)
-2x - 6 < 4
+ 6 + 6
--------------------
-2x < 10
------ -------
-2 -2
x < -5
If you were to graph the solution, the arrow would be going to the left. I know this because the the less than symbol in the answer is pointing to the left. It's kinda hard to tell, but that's the way I figure it out every time. Also, the circle you draw will not be shaded in because the symbol in the answer is greater than or equal to/less than or equal to.
Let me know if any of what I said doesn't make sense. I hope I could help!
Answer:
3. The solution is the region below the line y = x/2 - 1, above y = -4 and towards left of x = 2. (All bold)
4. The solution is the region above the lines y = -2x/3 -7/3 and y = x/3 - 28/3 and below the line y = -x/6 - 13/3. (All bold)
Step-by-step explanation:
3) 4y ≥ -16
y ≥ -4
2x ≤ 4
x ≤ 2
x-2y ≥ 6
2y ≤ x - 2
y ≤ x/2 - 1
The solution is the region below the line y = x/2 - 1, above y = -4 and towards left of x = 2. (All bold)
4) 2x+3y ≥ -7
3y ≥ -2x -7
y ≥ -2x/3 -7/3
x-3y ≤ 28
3y ≥ x - 28
y ≥ x/3 - 28/3
x+6y ≤ -26
6y ≤ -x - 26
y ≤ -x/6 - 13/3
The solution is the region above the lines y = -2x/3 -7/3 and y = x/3 - 28/3 and below the line y = -x/6 - 13/3. (All bold)