Solving Inequalities Review

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 -8x + 2x - 16 < -5x + 7x?

Back

Combine like terms to get -6x - 16 < 2x, then add 6x to both sides to get -16 < 8x, and finally divide by 8 to find x > -2.

Front

What is the solution to the inequality 10 < 3x + 19?

Back

To solve, subtract 19 from both sides to get -9 < 3x, then divide by 3 to find x > -3.

Front

What are two examples of numbers that satisfy the inequality x < 8?

Back

Examples include 0.8 and 5.9.

Front

What is the process for solving a linear inequality?

Back

To solve a linear inequality, isolate the variable on one side of the inequality using inverse operations, similar to solving an equation.

Front

What is the difference between an equation and an inequality?

Back

An equation states that two expressions are equal, while an inequality shows that one expression is greater than or less than another.