Master Graphing One Variable Inequalities

What is the main difference between graphing an equation and graphing an inequality?

• Both represent multiple solutions.

• Both represent one solution.

• An equation represents one solution, while an inequality represents multiple solutions.

• An equation represents multiple solutions, while an inequality represents one solution.

When graphing the inequality x > 5 on a number line, what type of circle should be used at 5?

• Closed circle

• Open circle

• Half-filled circle

• No circle

If x is less than -2, which direction should the graph extend on the number line?

• Both directions

• To the left

• No direction

• To the right

What is the significance of a closed circle when graphing inequalities?

• It indicates that the graph should not extend at all.

• It indicates that the number is included in the solution.

• It indicates that the graph should extend in both directions.

• It indicates that the number is not included in the solution.

When is it necessary to use test points while graphing inequalities?

• Always, regardless of the inequality type.

• Only when the inequality is 'less than'.

• When you are unsure of the graph's direction.

• Only when the inequality is 'greater than'.

How should you graph an inequality involving a fraction like -3.5 on a number line?

• Use a different number line for fractions.

• Place the point at the nearest integer.

• Place the point between the two closest integers.

• Ignore the fraction and use the nearest whole number.

What should you do if the inequality is 'greater than or equal to'?

• Use an open circle and shade to the left.

• Use a closed circle and shade to the right.

• Use a closed circle and shade to the left.

• Use an open circle and shade to the right.