Question

1. (1 - 3b > 21 - 5b)

Explanation:

Step1: Add \(5b\) to both sides

To isolate the variable \(b\), we add \(5b\) to both sides of the inequality \(1 - 3b>21 - 5b\). This gives us \(1 - 3b+5b>21 - 5b + 5b\), which simplifies to \(1 + 2b>21\).

Step2: Subtract 1 from both sides

Next, we subtract 1 from both sides to further isolate the term with \(b\). So, \(1 + 2b-1>21 - 1\), which simplifies to \(2b>20\).

Step3: Divide by 2

Finally, we divide both sides by 2 to solve for \(b\). \(\frac{2b}{2}>\frac{20}{2}\), which gives \(b > 10\).

Answer:

\(b>10\) (On the number line, this would be an open circle at 10 and an arrow pointing to the right, covering values like 11, 12, 13, etc.)