Solve the inequality 45d≤24

Question

.(1 point)
The solution to the inequality is d≤

Answer 1

To solve the inequality \( 45d \leq 24 \), follow these steps:

1. Divide both sides by 45 (since 45 is positive, the direction of the inequality remains the same):

   \[ d \leq \frac{24}{45} \]

2. Simplify \(\frac{24}{45}\):

   To simplify, find the greatest common divisor (GCD) of 24 and 45, which is 3.

   \[ \frac{24 \div 3}{45 \div 3} = \frac{8}{15} \]

So, the solution to the inequality is:

\[ d \leq \frac{8}{15} \]