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 inequalities?

Back

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

Front

What does the symbol '<' mean in inequalities?

Back

The symbol '<' means 'less than'. For example, x < 3 means x is less than 3.

Front

What does the symbol '≥' mean in inequalities?

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 10 means x is greater than or equal to 10.

Front

What does the symbol '≤' mean in inequalities?

Back

The symbol '≤' means 'less than or equal to'. For example, x ≤ 4 means x is less than or equal to 4.

Front

How do you graph the inequality x < 3 on a number line?

Back

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

Front

How do you graph the inequality x ≥ 2 on a number line?

Back

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

Front

What is the inequality for a maximum of 10 cards dealt?

Back

The inequality is c ≤ 10, meaning the number of cards (c) can be 10 or fewer.

Front

What does the inequality x < -4 represent on a number line?

Back

It represents all numbers less than -4, shown with an open circle on -4 and shading to the left.

Front

If the cost of a ski trip is at least $3,200, what is the inequality?

Back

The inequality is x ≥ 3200, meaning the cost (x) is greater than or equal to $3,200.