solve the following inequality for x

x-9≤2(9-x)

1 answer

To solve the inequality, we first distribute the 2 on the right side of the equation:

x-9 ≤ 18 - 2x

Next, we add 2x to both sides to isolate the x variable on one side of the inequality:

x + 2x - 9 ≤ 18 - 2x + 2x

3x - 9 ≤ 18

Next, add 9 to both sides:

3x - 9 + 9 ≤ 18 + 9

3x ≤ 27

Finally, divide both sides by 3:

(3x)/3 ≤ 27/3

x ≤ 9

Therefore, the solution to the inequality is x ≤ 9.