Solving 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 'less than'.

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 or equal to'.

Front

What does the symbol '≥' represent in inequalities?

Back

The symbol '≥' means 'greater than or equal to'.

Front

How do you solve the inequality 2x - 3 < -7?

Back

Add 3 to both sides to get 2x < -4, then divide by 2 to find x < -2.

Front

What is the first step in solving the inequality -3 + x ≤ -11?

Back

Add 3 to both sides to isolate x, resulting in x ≤ -8.

Front

How can you represent a real-world scenario as an inequality?

Back

Identify the constraints and translate them into mathematical expressions using inequality symbols.

Front

What is the solution set of the inequality x ≥ 1?

Back

The solution set includes all real numbers greater than or equal to 1.

Front

How do you graph the inequality x < -2?

Back

Draw a number line, place an open circle at -2, and shade to the left to indicate all numbers less than -2.