Final answer:
The point that satisfies the inequality x < -3 is option a) (-4, 0), since -4 is less than -3 and is the x-coordinate of this point. None of the other points have an x-coordinate that meets the condition of being less than -3.
Step-by-step explanation:
The question asks to identify which point on the axis satisfies the inequality x < -3. To find the correct point, we need to consider the x-coordinates of the provided points and determine if they are less than -3. The options provided are coordinates on the Cartesian plane, where the first number represents the x-coordinate and the second number represents the y-coordinate.
- (-4, 0)
- (-3, 0)
- (-2, 0)
- (0, -3)
Comparing the x-coordinates with the inequality x < -3:
- (-4, 0) has an x-coordinate of -4, which satisfies the inequality.
- (-3, 0) has an x-coordinate of -3, which does not satisfy the inequality since it is not less than -3.
- (-2, 0) has an x-coordinate of -2, which does not satisfy the inequality since it is greater than -3.
- (0, -3) has an x-coordinate of 0, which does not satisfy the inequality since it is greater than -3.
Therefore, the only point that satisfies the inequality x < -3 is (-4, 0). This means the answer is option a) (-4, 0).