High School

Which represents the solution set of the inequality [tex]5x - 9 < 21[/tex]?

A. [tex]x < 6[/tex]
B. [tex]x \leq 6[/tex]
C. [tex]x > 6[/tex]
D. [tex]x \geq 6[/tex]

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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