Inequalities

Front

What does the inequality X > -1 represent on a number line?

Back

It represents all numbers greater than -1, with an open circle at -1 indicating that -1 is not included.

Front

What type of circle is used to represent the inequality r < -12.97 on a graph?

Back

A closed circle is used to indicate that -12.97 is not included in the solution set.

Front

What does the term 'less than' signify in inequalities?

Back

It indicates that a value is smaller than another value, represented by the symbol '<'.

Front

What does the term 'greater than or equal to' signify in inequalities?

Back

It indicates that a value is either larger than or equal to another value, represented by the symbol '≥'.

Front

What type of circle is used to represent the inequality y < 5 on a graph?

Back

An open circle is used to indicate that 5 is not included in the solution set.

Front

How do you graph the inequality x ≤ 3?

Back

You 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.

Front

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

Back

'Greater than' (>) means the value is strictly larger, while 'greater than or equal to' (≥) includes the value itself.

Front

What does the inequality y ≥ 2 represent on a graph?

Back

It represents all values of y that are greater than or equal to 2, with a closed circle at 2.

Front

How do you represent the inequality -5 < x < 3 on a number line?

Back

You place open circles at -5 and 3 and shade the region between them.

Front

What does the inequality x > 0 indicate about the values of x?

Back

It indicates that x can be any positive number, excluding 0.