Solving One-Step Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using symbols like <, >, ≤, or ≥.

Front

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

Back

The symbol '>' means 'greater than'. For example, x > 2 means x is greater than 2.

Front

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

Back

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

Front

How do you solve the inequality x + 5 > 7?

Back

Subtract 5 from both sides: x > 2.

Front

How do you solve the inequality -4 + y < -8?

Back

Add 4 to both sides: y < -4.

Front

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

Back

The symbol '≤' means 'less than or equal to'. For example, k ≤ 34 means k is less than or equal to 34.

Front

How do you solve the inequality -24 + k ≤ 10?

Back

Add 24 to both sides: k ≤ 34.

Front

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

Back

The symbol '≥' means 'greater than or equal to'. For example, a ≥ 11 means a is greater than or equal to 11.

Front

How do you solve the inequality -8x < 24?

Back

Divide both sides by -8 (remember to flip the inequality): x > -3.

Front

What is the solution set for the inequality x + 5 > 7?

Back

The solution set is all values of x that are greater than 2.