Answer :
Final answer:
The inequality 5x - 9 < 21 simplifies to the solution x ≤ 6 when variable x is isolated. Option C is correct.
Explanation:
The question you asked is a math question related to solving a linear inequality. Specifically, you were given the inequality 5x - 9 ≤ 21, and you were asked to determine which statement represents the solution set of this inequality.
In this type of math problem, the goal is to find the values of x that satisfy the given inequality. To find the solution set of the inequality 5x - 9 ≤ 21, you can isolate x by adding 9 to both sides of the inequality:
5x - 9 + 9 ≤ 21 + 9
This simplifies to:
5x ≤ 30
Now, to isolate x, divide both sides of the inequality by 5:
(5x)/5 ≤ 30/5
This simplifies to:
x ≤ 6
So, the solution set for the inequality 5x - 9 ≤ 21 is x ≤ 6. Therefore, the correct answer is C. x ≤ 6.
This question should be provided as:
Which represents the solution set of the inequality 5x-9≤21?
- A. x ≤ 12/5
- B. x ≥ 12/5
- C. x ≤ 6
- D. x ≥ 6
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