Inequalities

What does the symbol '≤' represent in inequalities?

• 'is less than or equal to'

• 'is greater than'

• 'is equal to'

• 'is greater than or equal to'

How do you interpret the inequality 'x > 1'?

• x can take any value greater than 1, but not 1 itself.

• x can take any value less than 1, including 1.

• x can take any value equal to 1 or greater.

• x can take any value greater than or equal to 1.

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, meaning the inequality is 'less than or equal to' or 'greater than or equal to'.

• An open circle indicates that the number is not included in the solution set, meaning the inequality is 'less than' or 'greater than' without equality.

• An open circle is used to represent a fixed point in graphing, regardless of the inequality.

• An open circle signifies that the graph is continuous and includes all real numbers.

What does the symbol '≥' represent in inequalities?

• 'is less than'

• 'is greater than'

• 'is equal to'

• 'is greater than or equal to'

What is a compound inequality?

• A compound inequality consists of two or more inequalities joined by 'and' or 'or', representing a range of values that satisfy all conditions.

• A compound inequality is a single inequality that combines multiple variables into one expression.

• A compound inequality is an equation that has no solutions.

• A compound inequality is a type of inequality that only uses the 'and' conjunction.

What does the phrase 'is no more than' indicate in terms of inequalities?

• A value is greater than a certain number, represented by the symbol '>.'

• A value is less than a certain number, represented by the symbol '<.'

• A value is less than or equal to a certain number, represented by the symbol '≤.'

• A value is equal to a certain number, represented by the symbol '='.

What does the symbol '>' mean in inequalities?

• The symbol '>' means 'is less than.'

• The symbol '>' means 'is equal to.'

• The symbol '>' means 'is greater than.'

• The symbol '>' means 'is not equal to.'

What is the relationship between inequalities and their corresponding graphs?

• Inequalities can be represented graphically on a number line, where the direction of shading indicates the range of values that satisfy the inequality.

• Inequalities are only represented as points on a graph without any shading.

• Inequalities can be represented as vertical lines only, indicating no range of values.

• Inequalities do not have any graphical representation and are only solved algebraically.

What does the symbol '<' mean in inequalities?

• is greater than

• is equal to

• is less than

• is not equal to

How do you graph the inequality 'x ≤ 3'?

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

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

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

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