Writing Inequalities from Number Lines

What does a filled circle on a number line indicate?

• The number is not included in the solutions.

• The number is included in the solutions.

• The solutions are to the left of the number.

• The solutions are to the right of the number.

How is 'x is greater than or equal to 2' represented on a number line?

• Open circle above 2, arrow pointing right.

• Filled circle above 2, arrow pointing left.

• Open circle above 2, arrow pointing left.

• Filled circle above 2, arrow pointing right.

What does an open circle above a number signify?

• Only positive numbers are solutions.

• Only negative numbers are solutions.

• The number is not included in the solutions.

• The number is included in the solutions.

Which of the following is true for a number line representation with a filled circle?

• It means the number is included in the solution set.

• It represents x is not equal to the number.

• It indicates that there are no solutions beyond this point.

• It signifies that the number is not part of the solution.

If the arrow points to the left of -1, which inequality represents the solutions?

• x is greater than -1.

• x is less than or equal to -1.

• x is greater than or equal to -1.

• x is less than -1.

How can 'x is less than -1' also be written?

• x is greater than -1.

• -1 is less than x.

• -1 is equal to x.

• -1 is greater than x.

What does an arrow pointing to the left on a number line indicate?

• The number is included in the solutions.

• No solutions exist.

• Solutions are less than the number.

• Solutions are greater than the number.

How can '58 is greater than x' be represented with symbols?

• x > 58

• x < 58

• x >= 58

• x <= 58

For a filled circle above 12 with an arrow pointing right, how is the inequality written?

• x is greater than or equal to 12.

• x is less than or equal to 12.

• x is less than 12.

• x is greater than 12.

In the context of inequalities, what does an arrow pointing right signify?

• No solutions exist to the right of the number.

• The solutions are all numbers less than the indicated number.

• Solutions are all numbers greater than the indicated number.

• Only negative solutions are considered.