Inequalities: solve, translate, graph

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, x > 3 means x is greater than 3.

Front

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

Back

The symbol '<' means 'less than'. For example, x < 6 means x is less than 6.

Front

How do you solve the inequality 3x + 19 > 10?

Back

Subtract 19 from both sides: 3x > -9. Then divide by 3: x > -3.

Front

What does the solution x > -3 represent on a number line?

Back

It represents all numbers greater than -3, starting from -3 and extending to the right.

Front

When graphing the inequality x < 6, what type of dot is used?

Back

An open dot is used because the inequality does not include 6.

Front

What does the inequality x ≥ 3 mean?

Back

It means x is greater than or equal to 3, including 3 itself.

Front

Which of the following is a solution to the inequality x > 15?

Back

20 is a solution because it is greater than 15.

Front

What is the difference between ≤ and < in inequalities?

Back

≤ means 'less than or equal to', while < means 'less than' only.

Front

How do you represent the inequality x ≤ 3 on a number line?

Back

You use a closed dot at 3 and shade to the left.