Which represents the solution set of the inequality 5x-9321?

The solution set is the interval (-∞, 6] OR {x : x ≤ 6}

Step-by-step explanation:

* Lets explain how to find the solution set of the inequality

- The inequality is 5x - 9 ≤ 21

∵ 5x - 9 ≤ 21

- At first add 9 to both sides of the inequality to separate x in one

side and the numbers in the other sides

∴ 5x - 9 + 9 ≤ 21 + 9

∴ 5x ≤ 30

- Lets divide both sides of the inequality by 5 to find the values of x

∴ (5x : 5) ≤ (30 : 5)

∴ x ≤ 6

- The solutions of the inequality is all real numbers smaller than

or equal to 6

∴ The solution set is the interval (-∞, 6] OR {x : x ≤ 6}

- We can represent this inequality graphically to more understand

for the solution

- From the graph the solution set is the purple area