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14. 255 ≥ 17b

Question

  1. 255 ≥ 17b

Explanation:

Step1: Divide both sides by 17

To solve for \( b \) in the inequality \( 255 \geq 17b \), we divide both sides of the inequality by 17. Since 17 is a positive number, the direction of the inequality sign remains the same.
\[
\frac{255}{17} \geq \frac{17b}{17}
\]

Step2: Simplify both sides

Simplify the left - hand side: \( \frac{255}{17}=15 \), and the right - hand side: \( \frac{17b}{17} = b \). So we get \( 15\geq b \), which can also be written as \( b\leq15 \).

Answer:

\( b\leq15 \)