could someone help me with math?

Question

Solve the following inequality, then graph the solution set.
7b-12<3b

Answer 1

7B - 12 < 3B

 

With any equation, isolate the variable (in this case B) on one side, and the constant on the other

remember, always add, subtract, divide, multiple the same to both sides !!

 

1)  subtract 3B from each side

 

7B - 3B - 12 < 0     or   4B - 12 < 0

 

2) add 12 to each side

 

4B < 12

 

3) divide both sides by 4

 

B < 3  

 

TO graph on a number line, circle at the value 3 (means it doesn't include 3)

and a line with an arrow to the left (<)

 

<==============0

----|-----|------|------|-----|-----|----

    -1      0       1        2     3      4

 

or expressed as (-∞, 3)