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 in an inequality?

Back

The symbol '>' means 'greater than'. For example, 5 > 3 means 5 is greater than 3.

Front

What does the symbol '<' mean in an inequality?

Back

The symbol '<' means 'less than'. For example, 2 < 4 means 2 is less than 4.

Front

How do you graph the inequality x > 3?

Back

To graph x > 3, draw a number line, place an open circle at 3, and shade to the right to indicate all numbers greater than 3.

Front

What does the solution m < 25 represent?

Back

The solution m < 25 represents all values of m that are less than 25.

Front

How do you solve the inequality x + 1/2 > 1.5?

Back

To solve, subtract 1/2 from both sides: x > 1.5 - 0.5, so x > 1.

Front

What is the solution to the inequality 1/2 > b?

Back

The solution is all values of b that are less than 1/2.

Front

What does the equation 122 = x represent?

Back

The equation 122 = x means that x is exactly equal to 122.

Front

How do you represent the inequality 'more than 122 students'?

Back

It can be represented as x > 122, where x is the number of students.

Front

What is the graph of the inequality 2 > p?

Back

The graph shows an open circle at 2 and shading to the left, indicating all values less than 2.