Answer:
So, the solution to the inequality -x ≤ -2 is x ≥ 2.
Explanation:
To solve the inequality -x ≤ -2, we need to isolate the variable x.
1. Multiply both sides of the inequality by -1 to maintain the inequality sign:
-1 * (-x) ≥ -1 * (-2)
This simplifies to:
x ≥ 2
2. The inequality x ≥ 2 means that x is greater than or equal to 2. This includes all values of x that are equal to or greater than 2.
For example, x = 2, x = 3, x = 4, and so on, satisfy the inequality -x ≤ -2.