Inequalities test 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, or not equal to the other.

Front

What does the symbol '>' represent in inequalities?

Back

The symbol '>' means 'greater than'. For example, x > 2 means x is greater than 2.

Front

What does the symbol '<' represent in inequalities?

Back

The symbol '<' means 'less than'. For example, x < 2 means x is less than 2.

Front

What does the symbol '≥' represent in inequalities?

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 2 means x is greater than or equal to 2.

Front

What does the symbol '≤' represent in inequalities?

Back

The symbol '≤' means 'less than or equal to'. For example, x ≤ 2 means x is less than or equal to 2.

Front

How do you solve the inequality 3 |2x + 7| + 7 < 4?

Back

There is no solution because the left side is always greater than or equal to 7.

Front

Back

Front

How do you interpret the graph of the inequality y ≥ -x^2?

Back

The graph represents all points above or on the curve of the parabola opening downwards.

Front

What is the solution to the inequality 3|d - 4| ≥ 12?

Back

The solution is d ≥ 8 or d ≤ 0.

Front

What is the difference between strict and non-strict inequalities?

Back

Strict inequalities (<, >) do not include the boundary points, while non-strict inequalities (≤, ≥) do include them.