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

The solution to the inequality is d ≤

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
1 month ago

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:
\[
d \leq 30
\]

User Icon for 37432 37432 answered
1 month ago

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

The solution to the inequality is k ≥

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
1 month ago

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:
\[
k \geq 3
\]