Inequalities

What does the symbol '<' mean in inequalities?

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

• The symbol '<' means 'is equal to.'

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

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

What does the symbol '≤' represent in inequalities?

• Is greater than or equal to

• Is less than

• Is less than or equal to

• Is 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 less than or equal to 1.

How do you solve a simple inequality like '2x + 3 < 7'?

• Subtract 3 from both sides to get '2x < 4', then divide by 2 to find 'x < 2.'

• Add 3 to both sides to get '2x > 10', then divide by 2 to find 'x > 5.'

• Multiply both sides by 2 to get '4x + 6 < 14', then subtract 6 to find 'x < 2.'

• Subtract 2 from both sides to get '3 < 2x + 1', then divide by 2 to find 'x > 1.'

What is the difference between 'less than' and 'less than or equal to'?

• 'Less than' is represented by '<' and does not include the endpoint, while 'less than or equal to' is represented by '≤' and includes the endpoint.

• 'Less than' is represented by '≤' and includes the endpoint, while 'less than or equal to' is represented by '<' and does not include the endpoint.

• Both 'less than' and 'less than or equal to' are represented by '<' and include the endpoint.

• 'Less than' is represented by '<' and includes the endpoint, while 'less than or equal to' is represented by '>' and does not include the endpoint.

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 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.

How do you graph the inequality 'x ≥ 2'?

• Draw a number line, place a closed circle on 2, and shade to the right to indicate all values greater than or equal to 2.

• Draw a number line, place an open circle on 2, and shade to the left to indicate all values less than 2.

• Draw a number line, place a closed circle on 2, and shade to the left to indicate all values less than or equal to 2.

• Draw a number line, place an open circle on 2, and shade to the right to indicate all values greater than 2.

What is the significance of using a closed circle in graphing inequalities?

• A closed 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.'

• A closed circle indicates that the number is not included in the solution set, meaning the inequality is 'less than' or 'greater than.'

• A closed circle is used to represent a point that is always positive in value.

• A closed circle signifies that the graph is continuous and does not have any breaks.

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 '='.