Question

Which of the following is a solution for 2b + 5 < -1 or b - 4 > -4?
Answer
-1 < b < -4
-4 < b < 5
b < -3 or b > 0
All Real Numbers

Answer 1

\[2b+5 < -1\]
First start by subtracting 5 from both sides;
\[2b+5-5 < -1 - 5\]
\[2b<-6\]
Next divide both sides by 2;
\[\frac{ 2b }{ 2 }<\frac{ -6 }{ 2 }\]
\[b<-3\]

Next inequality;
\[b-4 > -4\]
Add 4 to both sides;
\[b-4+4>-4+4\]
\[b>0\]

So that means that the answer is;\[b < -3 \]or\[b>0\]

Answer 2

can you do more of these?

Answer 3

Do you see and understand how I figured out the answers? It might be more helpful for you to do them yourself rather than me (or someone else) to do it for you. But if you don't understand, then I can try to explain it some more with others you may have, and you might get the idea of inequalities this way.