Solving Inequalities (Add and Subtract)

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

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

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 10 means x is greater than or equal to 10.

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

How do you solve the inequality x + 3 > 7?

Back

Subtract 3 from both sides: x > 4.

Front

How do you solve the inequality x - 5 < 10?

Back

Add 5 to both sides: x < 15.

Front

What is the solution set for the inequality x ≥ 50?

Back

The solution set includes all numbers greater than or equal to 50.

Front

How can you represent the inequality m > 41 in words?

Back

Mary’s points, m, totaled more than 41.

Front

What is the solution to the inequality x + 9 > 21 when x = 15?

Back

True, because 15 + 9 = 24, which is greater than 21.