To solve the inequality 4/5d ≤ 24, we need to isolate the variable d.
First, we will multiply both sides of the inequality by 5 to get rid of the fraction:
5 * (4/5)d ≤ 5 * 24
4d ≤ 120
Next, we will divide both sides of the inequality by 4 to solve for d:
(1/4) * 4d ≤ (1/4) * 120
d ≤ 30
Therefore, the solution to the inequality is d ≤ 30.
Solve the inequality 4/5d≤24 .
7 answers
Use the properties of inequality to find the solution to 5(2k−3)≥−3(4−3k) .
To solve the inequality 5(2k - 3) ≥ -3(4 - 3k), we will apply the properties of inequality step by step.
First, we will distribute both sides of the inequality:
10k - 15 ≥ -12 + 9k
Next, we will collect like terms by subtracting 9k from both sides and adding 12 to both sides:
10k - 9k ≥ -12 + 9k + 12
k ≥ 12
Therefore, the solution to the inequality is k ≥ 12.
First, we will distribute both sides of the inequality:
10k - 15 ≥ -12 + 9k
Next, we will collect like terms by subtracting 9k from both sides and adding 12 to both sides:
10k - 9k ≥ -12 + 9k + 12
k ≥ 12
Therefore, the solution to the inequality is k ≥ 12.
That is wrong
Apologies for the mistake. Let's correct it.
To solve the inequality 5(2k - 3) ≥ -3(4 - 3k), we will apply the properties of inequality step by step.
First, we will distribute both sides of the inequality:
10k - 15 ≥ -12 + 9k
Next, we will simplify by combining like terms:
10k - 15 ≥ -12 + 9k
k ≥ 3
Therefore, the correct solution to the inequality is k ≥ 3.
To solve the inequality 5(2k - 3) ≥ -3(4 - 3k), we will apply the properties of inequality step by step.
First, we will distribute both sides of the inequality:
10k - 15 ≥ -12 + 9k
Next, we will simplify by combining like terms:
10k - 15 ≥ -12 + 9k
k ≥ 3
Therefore, the correct solution to the inequality is k ≥ 3.
What inequality is depicted in the graph?
I apologize for the confusion. Since the graph was not provided in the question, I am unable to determine the specific inequality depicted in the graph without visual representation.
If you can provide the graph or describe it, I can help you determine the inequality.
If you can provide the graph or describe it, I can help you determine the inequality.