Solving Inequalities - Assessment

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?

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

How do you solve the inequality 2x + 6 > 12?

Back

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

Front

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

Back

Yes, because 12 is greater than 5.

Front

What are two solutions to the inequality x < 8?

Back

0.8 and 5.9 are both less than 8.

Front

What does it mean to isolate a variable in an inequality?

Back

To isolate a variable means to get the variable by itself on one side of the inequality.

Front

What is the solution set for the inequality x ≤ 4?

Back

The solution set includes all numbers less than or equal to 4.

Front

How do you graph the inequality x > 3 on a number line?

Back

Draw an open circle at 3 and shade to the right to indicate all numbers greater than 3.

Front

What is the difference between '≥' and '>'?

Back

'≥' means 'greater than or equal to', while '>' means 'greater than' only.