Solving inequalities Flashcard

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 ≥ 4 means x 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, x ≤ 7 means x is less than or equal to 7.

Front

How do you solve the inequality 2x + 3 ≤ 15?

Back

Subtract 3 from both sides to get 2x ≤ 12, then divide by 2 to find x ≤ 6.

Front

Is x = 12 a solution to the inequality x > 5?

Back

Yes, because 12 is greater than 5.

Front

What is the solution to the inequality -5x ≥ 30?

Back

Divide both sides by -5 (remember to flip the inequality sign) to get x ≤ -6.

Front

How do you represent the solution of an inequality on a number line?

Back

Use an open circle for < or > and a closed circle for ≤ or ≥, then shade the appropriate direction.

Front

What is the solution set for the inequality 6 > x?

Back

The solution set is all numbers less than 6.