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 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, y < 3 means y is less than 3.

Front

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

Back

The symbol '≥' means 'greater than or equal to'. For example, z ≥ 4 means z is greater than or equal to 4.

Front

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

Back

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

Front

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

Back

Subtract 5 from both sides: x > 2.

Front

How do you check if a value satisfies the inequality x + 9 > 21 when x = 15?

Back

Substitute 15 into the inequality: 15 + 9 > 21, which simplifies to 24 > 21, so it is true.

Front

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

Back

Add 4 to both sides: y < -4.

Front

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

Back

Add 24 to both sides: k ≤ 34.

Front

What does the graph of an inequality represent?

Back

The graph of an inequality shows all the possible solutions that satisfy the inequality.