Solve the inequality 4/5d≤24 .(1 point) The solution to the inequality is d≤

1 answer

To solve the inequality \( \frac{4}{5}d \leq 24 \), we start by isolating \( d \).

  1. Multiply both sides of the inequality by \( \frac{5}{4} \) to eliminate the fraction. Note that since \( \frac{5}{4} \) is positive, the direction of the inequality remains the same:

\[ d \leq 24 \times \frac{5}{4} \]

  1. Calculate \( 24 \times \frac{5}{4} \):

\[ 24 \times \frac{5}{4} = 24 \div 4 \times 5 = 6 \times 5 = 30 \]

  1. Thus, we have:

\[ d \leq 30 \]

The solution to the inequality is \( d \leq 30 \).