Solve the inequality 4/5d ≤ 24 (1 point)

Question

The solution to the inequality is d ≤

Answer 1

To solve the inequality \( \frac{4}{5}d \leq 24 \), follow these steps:

1. Multiply both sides of the inequality by \( \frac{5}{4} \) to isolate \( d \): \[ d \leq 24 \times \frac{5}{4} \]

2. Calculate \( 24 \times \frac{5}{4} \): \[ 24 \times \frac{5}{4} = 24 \div 4 \times 5 = 6 \times 5 = 30 \]

Therefore, the solution to the inequality is: \[ d \leq 30 \]

Answer 2

Use the properties of inequality to find the solution to 5(2k - 3) ≥ -3(4 - 3k)
The solution to the inequality is k ≥

Answer 3

To solve the inequality \( 5(2k - 3) \geq -3(4 - 3k) \), follow these steps:

1. Distribute both sides: \[ 5 \cdot 2k - 5 \cdot 3 \geq -3 \cdot 4 + 3 \cdot 3k \] This simplifies to: \[ 10k - 15 \geq -12 + 9k \]

2. Rearrange the inequality by moving the term involving \( k \) from the right to the left: \[ 10k - 9k \geq -12 + 15 \] This simplifies to: \[ k \geq 3 \]

Thus, the solution to the inequality is: \[ k \geq 3 \]