The number line depicts x ≤ -6.
The closed circle at -6 includes it in the solution.
The shaded area leftward shows all numbers less than or equal to -6.
The number line is modeled by the inequality x ≤ -6.
Here's how we can interpret the number line:
The number line shows all real numbers.
The closed circle at -6 indicates that -6 is included in the solution.
The shaded area to the left of -6 represents all the numbers less than or equal to -6.
Therefore, the inequality that accurately represents the number line is x ≤ -6.
The other options can be eliminated as follows:
x ≥ -6: This inequality would be represented by a closed circle at -6 and a shaded area to the right, indicating all numbers greater than or equal to -6.
x > -6: This inequality would be represented by an open circle at -6 and a shaded area to the right, indicating all numbers greater than -6.
x < -6: This inequality would be represented by an open circle at -6 and a shaded area to the left, indicating all numbers less than -6.