Question

Which inequality describes the points shown on this number line?​

Answer 1

B

Explanation:

the answer is 4 <x or x is equal to smaller than q0

Answer 2

The solution set includes values less than 4 and values greater than or equal to 10, making the inequality x < 4 or
`\(x \geq 10\)` accurate for the given number line.

The number line described suggests the use of inequality symbols to represent the intervals associated with open and filled circles. The open circle at 4 implies that the point is not included in the solution set, while the filled circle at 10 indicates that the point is part of the solution set. Therefore, the correct inequality should reflect these conditions.

The given number line illustrates two separate intervals:

1. From the open circle at 4 to the left (towards negative infinity), indicating x < 4.

2. From the filled circle at 10 to the right (towards positive infinity), indicating
`\(x \geq 10\)`.

Combining these two intervals, the appropriate inequality is x < 4 or
`\(x \geq 10\)`. This is because x can take any value less than 4 or any value greater than or equal to 10, including the values between the two intervals.

In summary, the correct inequality that describes the points on the number line is x < 4 or
`\(x \geq 10\)`.