Graph Inequalities

What is an inequality?

• A mathematical statement that compares two expressions, showing that one is greater than, less than, or not equal to the other.

• A type of equation that always has a solution.

• A graphical representation of a function.

• A method to solve for unknown variables.

• It means that x can be any number to the left of 5 on the number line, including 5.

• It means that x can be any number to the right of 5 on the number line, not including 5.

• It means that x can be exactly 5 on the number line.

• It means that x can be any number on the number line.

What does the symbol '≥' mean in inequalities?

• 'Less than'

• 'Greater than'

• 'Greater than or equal to'

• 'Equal to'

What is the graphical representation of the inequality @@x ≤ 3@@?

• A closed circle at 3 with shading to the left, indicating all numbers less than or equal to 3.

• An open circle at 3 with shading to the right, indicating all numbers greater than 3.

• A closed circle at 3 with shading to the right, indicating all numbers greater than or equal to 3.

• A line extending infinitely in both directions with no circles, indicating all real numbers.

How do you graph the inequality @@x < 3@@ on a number line?

• Draw a number line, place an open circle at 3, and shade to the left to indicate all numbers less than 3.

• Draw a number line, place a closed circle at 3, and shade to the right to indicate all numbers greater than or equal to 3.

• Draw a number line, place an open circle at 3, and shade to the right to indicate all numbers greater than 3.

• Draw a number line, place a closed circle at 3, and shade to the left to indicate all numbers less than or equal to 3.

What does the symbol '<' mean in inequalities?

• Greater than

• Less than

• Equal to

• Not equal to

What does a closed circle on a number line represent?

• A closed circle indicates that the number is not part of the solution set.

• A closed circle indicates that the number is part of the solution set.

• A closed circle indicates that the number is greater than the solution set.

• A closed circle indicates that the number is less than the solution set.

What does the symbol '≤' mean in inequalities?

• Greater than or equal to

• Less than or equal to

• Equal to

• Not equal to

What does the symbol '>' mean in inequalities?

• Less than

• Equal to

• Greater than

• Not equal to

• The solution set includes all numbers less than -4.

• The solution set includes all numbers greater than -4.

• The solution set includes only the number -4.

• The solution set includes all numbers equal to -4.