![\[ \text{The values satisfying } X \leq -6 \text{ are } -10 \text{ and } -6. \]](https://img.qammunity.org/2024/formulas/mathematics/high-school/2fo3htf1hwzji4lo88uhi2y24abj4gbnvj.png)
**Step 1:** Start by stating the given inequality:
![\[ X \leq -6 \]](https://img.qammunity.org/2024/formulas/mathematics/high-school/6sh1srn4dhsfl90govti1z5aanhu7okomd.png)
**Step 2:** Identify the potential values in the provided options: -10, -3, -6, and 0.
**Step 3:** Evaluate each value by substituting it into the inequality:
a. For option (a):
- This statement is true since -10 is less than or equal to -6.
b. For option (b):
- This statement is false since -3 is not less than or equal to -6.
c. For option (c):
- This statement is true since -6 is equal to -6.
d. For option (d):
- This statement is false since 0 is not less than or equal to -6.
**Step 4:** Based on the evaluations, the values that satisfy the given inequality are -10 and -6.
**Step 5:** Conclude by listing the correct values:
![\[ \text{The values satisfying } X \leq -6 \text{ are } -10 \text{ and } -6. \]](https://img.qammunity.org/2024/formulas/mathematics/high-school/2fo3htf1hwzji4lo88uhi2y24abj4gbnvj.png)
The probable question can be:
Given the inequality
, which of the following values satisfies the condition?
a. -10
b. -3
c. -6
d. 0