Posted by DJ on Wednesday, February 20, 2008 at 8:50pm.
We have the decimal number:
15.35, which becomes 15(35/100).
The fractional part can be reduced.
What is the biggest number that can evenly fit into 35 and 100 without a remainder?
How about 5?
35/5 = 7
100/5 = 20
Final answer:
5_7/20
===============
The inequality symbols have names:
> means GREATER THAN
< means LESS THAN
The arrow ALWAYS points to the smaller number.
We have a fraction on the left and a decimal number on the right:
5/16 ___ 0.313
Which inequality symbol goes on the line?
When we divide 5 by 16, we get 0.3135, right?
Which is bigger?
0.3135 or 0.313?
Of course, 0.3135 is bigger.
Final answer:
5/16 > 0.313
Done!
INEQUALITY AND GRAPH
5x-7(x+1)>-9
<-+-+-+-+-+-+-+-+-+-+->
-4-3-2-1 0 1 2 3 4 5
5 x - 7 x - 7 >-9
-2 x > -2
divide both sides by -2. When you multily both sides by a negative number, change direction of arrow.
x < 1
put an open circle around x =1 and an arrow to the left.
+++++++++++++++++++++++++++++
check, try x = 0
5*0 - 7*0 - 7 >-9 ?
-7 > -9 sure enough
try x = 1 (should be right on the edge)
5 - 7(2) > -9 ?
5 - 14 >-9
-9 >-9 sure enough, this is the edge