Question 263931
1. Graph on a number line where x is a real number. -5<x<= 5.
  I think the graph should look like, a hollow circle on -5 with a solid line going to 5 and the circle on 5 is filled in, is this correct?
Ans: Correct
----------------------------

2. Solve by elimination method.
     4x + 5y= 5
     8x + 10y= 10
-----
Multiply thru the 1st equation by 2 so the system becomes:
8x + 10y = 10
8x + 10y = 10
--
Subtract and you get 0 = 0
-----------
That means the two eqations are the same.
Every point on the line 4x+5y=5 is a solution. 
 a. The solution is (x,(-4/5)x+1)_____
 b. There are infinitely many solutions.
 c. There is no solution.
Ans: b
---------------------- 

3. Solve Using the multiplication principle.
         -6x > 1/3
Multiply both sides by (-1/6) and remember to reverse the inequality sign.
(-1/6)(-6x) > (-1/6)(1/3)
x < (-1/18)
   The solution set is {x|x< (-1/18})
==========================================

4. The equation y= -1777x + 27,153 can be used to predict the number y of gun deaths in the United Steates x years after 2000, that is, x=0 corresponds to 2000, x=2 corresponds to 2002, x=6 corresponds to 2006, and so on. 
Predict the number of gun deaths in 2006 and 2008. In what year will the number of gun deaths be 9383?
d(6) = -1777(6) + 27,153 = 16,491
d(8) = -1777(8) + 27,153 = 12,937
---
9383 = -1777x + 27153
-1777x = -17770
x = 10
Year = 2010
------------------------------------------------
  The predicted gun deaths in 2006 will be ________?
  The predicted gun deaths in 2008 will be ________?
  The predicted number of gun deaths will be 9383 in the year _____?

7. Solve using the multiplication principle. Don't forget to perform a checkl
     -1/6x = -9/10
(-6)(-1/6)x = (-6)(-9/10)
x = 54/10
x = 27/5
Checking:
(-1/6)(27/5) = (-9/10)
(-27/30) = (-9/10)
(-9/10) = (-9/10)
=========================
Cheers,
Stan H.