Solve x - 5/9 <_ - 2. Write your solution using set builder notation.

x - 5 / 9 <= - 2

x <= - 2 + 5 / 9

x <= - 18 / 9 + 5 / 9

x <= - 13 / 9

x € ( - infinity, - 13 / 9 ]

That means - 13 / 9 are included in solutions.

To solve the inequality x - 5/9 ≤ -2, we need to isolate the variable, x.

Step 1: Add 5/9 to both sides of the inequality:
x - 5/9 + 5/9 ≤ -2 + 5/9

Simplifying the right side:
x ≤ -2 + 5/9

Step 2: Combine the terms on the right side:
x ≤ (-18/9) + (5/9)

Simplifying:
x ≤ -13/9

Now, we can express the solution in set builder notation.

Solution: {x | x ≤ -13/9}