Solving Inequalities Practice

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

What does the symbol '≥' represent in inequalities?

Back

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

Front

What does the symbol '≤' represent in inequalities?

Back

The symbol '≤' means 'less than or equal to'.

Front

How do you solve the inequality 4x - 3 < -1x + 12?

Back

Combine like terms to get 5x < 15, then divide by 5 to find x < 3.

Front

What is the first step in solving the inequality -3 − 6(4x + 6) > -111?

Back

Distribute -6 to both terms inside the parentheses: -3 - 24x - 36 > -111.

Front

How do you isolate the variable in the inequality 7k - 2 ≥ -9?

Back

Add 2 to both sides to get 7k ≥ -7, then divide by 7 to find k ≥ -1.

Front

What is the solution to the inequality 8x ≥ -32?

Back

Divide both sides by 8 to find x ≥ -4.

Front

What is the solution format for inequalities?

Back

The solution format is typically written as variable--symbol--numerical value (e.g., x < 7).