Double check please

Question

Write each of the following as a common fraction or mixed number. Write your answer in lowest term
28. 15.35
Answer: 1535 / 100 = 307/20 = 15 35/100 is 15 7/20
Complete each of the following statement, using the symbol < or >
5/16 _0.313
Answer >

Answer 1

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!

Answer 2

INEQUALITY AND GRAPH
5x-7(x+1)>-9
<-+-+-+-+-+-+-+-+-+-+->
-4-3-2-1 0 1 2 3 4 5

Answer 3

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