Can you help me with this math problem?

Question

-2(1-2b)≥-8b-4(-2-3b)

Answer 1

-2(1-2b)> -8b-4(-2-3b)

-2+4b> -8b+8+12b

-2+4b> 4b+8

-2>8 which is a false statement

therefore no solution

 

Answer 2

1) distribute the factors into parentheses

 

-2(1-2b)≥8b-4(-2-3b) ⇔-1+4b≥8b+8+12b  ⇔ 4b-1≥20b+8

 

Now collect factors with b in one side, numbers in another.

 

4b-20b≥8+1

-16b≥9

 

b≤-9/16 (Remember: inequality changes sign from > to < when multiplied or divided by a negative number!)

 

Answer: b≤-9/16 or b≤-0.5625