Writing and Graphing Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using symbols such as <, >, ≤, or ≥.

Front

What does the symbol '≤' mean?

Back

'≤' means 'less than or equal to'. It indicates that a value can be either less than or exactly equal to another value.

Front

What does the symbol '≥' mean?

Back

'≥' means 'greater than or equal to'. It indicates that a value can be either greater than or exactly equal to another value.

Front

How do you represent the statement 'x is less than 5' in inequality form?

Back

x < 5

Front

How do you represent the statement 'x is greater than or equal to 10' in inequality form?

Back

x ≥ 10

Front

What is the solution set for the inequality x ≤ 3?

Back

The solution set includes all numbers less than or equal to 3.

Front

How do you graph the inequality x < 4?

Back

Draw a number line, place an open circle at 4, and shade to the left.

Front

How do you graph the inequality x ≥ -2?

Back

Draw a number line, place a closed circle at -2, and shade to the right.

Front

What does the inequality x > 7 represent on a number line?

Back

It represents all numbers greater than 7, with an open circle at 7 and shading to the right.

Front

If the inequality is x ≤ 0, what does this mean in terms of possible values for x?

Back

x can be any number that is less than or equal to 0.