One Step 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, x > 5 means x is greater than 5.

Front

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

Back

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

Front

How do you solve the inequality (n/3) > -20?

Back

Multiply both sides by 3 to get n > -60.

Front

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

Back

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

Front

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

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 2 means x is greater than or equal to 2.

Front

How do you graph the inequality 11 ≤ a?

Back

You would draw a number line, shade to the right of 11, and include 11 with a closed dot.

Front

What is the solution to the inequality 8x < 48?

Back

Divide both sides by 8 to get x < 6.

Front

What is the solution set for the inequality x - 3 > -3?

Back

Add 3 to both sides to get x > 0.

Front

What is the difference between strict and non-strict inequalities?

Back

Strict inequalities (<, >) do not include the boundary point, while non-strict inequalities (≤, ≥) do include the boundary point.