Finla answer:
The number line shows the inequality x < -4. This means that any value of x to the left of -4 on the number line satisfies the inequality.
x < -4
Step-by-step explanation:
The number line represents a visual representation of the values that x can take. In this case, the arrow points towards the left, indicating that x is less than -4. To understand this visually, imagine placing a point anywhere to the left of -4 on the number line. Any chosen point in that region, whether it's -5, -6, or any other number less than -4, would make the inequality x < -4 true.
In inequality notation, x < -4 describes an infinite set of real numbers. It includes all the values to the left of -4 and excludes -4 itself. The arrow pointing left indicates the direction in which the values satisfying the inequality lie. If x were equal to -4, the inequality would not hold, as -4 is not less than -4. Therefore, the strict inequality x < -4 accurately represents the relationship between x and the given number line.