Solving 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?

Back

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

Front

What does the symbol '<' mean?

Back

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

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 5 means x is greater than or equal to 5.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'. For example, y ≤ 10 means y is less than or equal to 10.

Front

How do you solve the inequality 3x < 12?

Back

To solve 3x < 12, divide both sides by 3: x < 4.

Front

What is the solution to the inequality n + 5 ≥ 10?

Back

To solve n + 5 ≥ 10, subtract 5 from both sides: n ≥ 5.

Front

How do you check if a value satisfies the inequality 4x > 16 when x = 5?

Back

Substitute 5 into the inequality: 4(5) > 16, which simplifies to 20 > 16. This is true.

Front

What is the solution to the inequality r - 14 ≥ 17?

Back

To solve r - 14 ≥ 17, add 14 to both sides: r ≥ 31.

Front

How do you represent the inequality 11 < a on a number line?

Back

On a number line, draw an open circle at 11 and shade to the right, indicating that a is greater than 11.