Exploring Writing and Graphing Inequalities

What is the key difference between equations and inequalities?

• Equations and inequalities both have infinitely many solutions.

• Equations have infinitely many solutions, while inequalities have one solution.

• Equations have no solutions, while inequalities have one solution.

• Equations have one solution, while inequalities have infinitely many solutions.

Which symbol represents 'less than or equal to'?

• ≤

• ≥

• <

• >

How should you read the inequality 'a < 2' when the variable is on the right side?

• 2 is greater than a

• a is greater than 2

• a is less than 2

• 2 is less than a

If a number P is fewer than 7, which inequality represents this statement?

• P ≤ 7

• P > 7

• P < 7

• P ≥ 7

What does the phrase 'no more than 10' mean in terms of inequalities?

• Less than or equal to 10

• Less than 10

• Greater than 10

• Greater than or equal to 10

How would you write the inequality for 'Z divided by 2 is at least -6'?

• Z/2 > -6

• Z/2 ≤ -6

• Z/2 < -6

• Z/2 ≥ -6

What does an open circle on a number line indicate?

• The value is greater than the solution set.

• The value is less than the solution set.

• The value is not included in the solution set.

• The value is included in the solution set.

When graphing the inequality 'X < 3', what type of circle should be used at 3?

• Both open and closed circle

• No circle

• Closed circle

• Open circle

In the inequality 'X ≥ -1', which direction should the arrow point on the number line?

• To the left

• To the right

• Upwards

• Downwards

If the inequality is 'X ≤ 9', what type of circle and direction should be used on the number line?

• Open circle, to the right

• Closed circle, to the left

• Open circle, to the left

• Closed circle, to the right