Solving one step inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, greater than or equal to, or less than or equal to the other.

Front

What does the symbol '>' represent in inequalities?

Back

The symbol '>' means 'greater than'.

Front

What does the symbol '<' represent in inequalities?

Back

The symbol '<' means 'less than'.

Front

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

Back

Subtract 5 from both sides to get x > 2.

Front

What is the first step to solve the inequality -4 + y < -8?

Back

Add 4 to both sides to isolate y, resulting in y < -4.

Front

What does the inequality x + 7 > 14 represent in a real-world context?

Back

It represents a situation where a chef needs to buy more potatoes to have a total greater than 14 pounds.

Front

How do you interpret the inequality 26 < f + 32?

Back

This means that f must be greater than -6 after isolating f.

Front

What is the solution to the inequality 2.75 < d?

Back

The solution indicates that d must be greater than 2.75.

Front

What is the process for solving one-step inequalities?

Back

To solve one-step inequalities, perform the inverse operation to isolate the variable on one side of the inequality.

Front

What is the difference between 'greater than' and 'greater than or equal to'?

Back

'Greater than' (>) means the value is strictly more, while 'greater than or equal to' (≥) includes the value itself.