Answer:The number line should look like this:
<-----o----->
-3
Explanation:
To solve the inequality x - 2 ≤ -5, we can follow these steps:
Add 2 to both sides of the inequality to isolate x on one side:
x - 2 + 2 ≤ -5 + 2
x ≤ -3
The solution to the inequality is x ≤ -3, which means that x is less than or equal to -3.
To plot the solution on a number line, we can place a closed dot on -3 to represent the "less than or equal to" condition, indicating that -3 is included in the solution set.
The number line should look like this:
<-----o----->
-3
The closed dot on -3 indicates that -3 is included in the solution set.