Graphing Inequalities on a Number Line

How do you graph the inequality x < 3?

• Draw an open circle at 3 and shade to the left.

• Draw a closed circle at 3 and shade to the right.

• Draw a line through 3 and shade both sides.

• Draw an open circle at 3 and shade to the right.

What does the inequality r ≥ -6 mean when graphed on a number line?

• The graph includes all numbers less than -6, represented with a solid dot at -6 and a line extending to the left.

• The graph includes all numbers greater than -6, represented with a solid dot at -6 and a line extending to the right.

• The graph includes all numbers greater than or equal to -6, represented with a solid dot at -6 and a line extending to the right.

• The graph includes only the number -6, represented with a solid dot at -6 and no line.

What does the inequality a ≤ 11 represent on a number line?

• The graph includes all numbers greater than 11, represented with a solid dot at 11 and a line extending to the right.

• The graph includes all numbers less than 11, represented with an open dot at 11 and a line extending to the left.

• The graph includes all numbers less than or equal to 11, represented with a solid dot at 11 and a line extending to the left.

• The graph includes only the number 11, represented with a solid dot at 11.

What does the inequality x > -1 represent?

• The graph includes all numbers less than -1, represented with a closed circle at -1 and a line extending to the left.

• The graph includes all numbers greater than -1, represented with an open circle at -1 and a line extending to the right.

• The graph includes only the number -1, represented with a closed circle at -1.

• The graph includes all numbers greater than or equal to -1, represented with a closed circle at -1 and a line extending to the right.

What is the correct way to graph the inequality y > 4?

• Draw an open circle at 4 and shade above the line.

• Draw a closed circle at 4 and shade below the line.

• Draw an open circle at 4 and shade below the line.

• Draw a closed circle at 4 and shade above the line.

What is the meaning of the inequality a < 11?

• The graph includes all numbers less than 11, represented with an open circle at 11 and a line extending to the left.

• The graph includes all numbers greater than 11, represented with a closed circle at 11 and a line extending to the right.

• The graph includes only the number 11, represented with an open circle at 11.

• The graph includes all numbers equal to 11, represented with a closed circle at 11.

What does the inequality 0 ≤ z < 5 indicate?

• The graph includes all numbers from 0 to 5, with a solid dot at 0 and an open circle at 5.

• The graph includes all numbers from 0 to 5, with an open dot at 0 and a solid circle at 5.

• The graph includes only the number 0 and excludes 5.

• The graph includes all numbers less than 5, with a solid dot at 5.

What is the significance of using an open circle in graphing inequalities?

• An open circle indicates that the number is included in the solution set (≤ or ≥).

• An open circle indicates that the number is not included in the solution set (< or >).

• An open circle is used to represent a closed interval.

• An open circle indicates that the number is a boundary point but not part of the solution.

What is the significance of using a solid dot in graphing inequalities?

• A solid dot indicates that the number is included in the solution set (≥ or ≤).

• A solid dot indicates that the number is excluded from the solution set (> or <).

• A solid dot is used to represent a variable in the equation.

• A solid dot is used to indicate a point of intersection.

What does the inequality a > 11 represent on a number line?

• The graph includes all numbers less than 11, represented with a closed circle at 11 and a line extending to the left.

• The graph includes all numbers greater than 11, represented with an open circle at 11 and a line extending to the right.

• The graph includes only the number 11, represented with a closed circle at 11.

• The graph includes all numbers equal to or greater than 11, represented with a closed circle at 11 and a line extending to the right.