Math Problem Solving

Front

What is an inequality?

Back

An inequality is a mathematical statement that shows the relationship between two expressions that are not equal. It uses symbols like >, <, ≥, and ≤.

Front

How do you represent a situation with an inequality?

Back

You can represent a situation with an inequality by identifying the quantities involved and the relationship between them, then using inequality symbols to express that relationship.

Front

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

Back

The symbol '>' means 'greater than'. It indicates that the value on the left side of the symbol is larger than the value on the right side.

Front

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

Back

The symbol '<' means 'less than'. It indicates that the value on the left side of the symbol is smaller than the value on the right side.

Front

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

Back

The symbol '≥' means 'greater than or equal to'. It indicates that the value on the left side is either larger than or equal to the value on the right side.

Front

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

Back

The symbol '≤' means 'less than or equal to'. It indicates that the value on the left side is either smaller than or equal to the value on the right side.

Front

How do you solve the equation 2x + 3 = 9?

Back

To solve for x, subtract 3 from both sides to get 2x = 6, then divide both sides by 2 to find x = 3.

Front

What is the first step in solving an inequality?

Back

The first step in solving an inequality is to isolate the variable on one side of the inequality sign.

Front

How can you check if a solution to an inequality is correct?

Back

You can check if a solution is correct by substituting the value back into the original inequality and verifying if the statement holds true.

Front

What is the solution to the inequality 2x - 4 > 12?

Back

To solve, add 4 to both sides to get 2x > 16, then divide by 2 to find x > 8.