One Step Inequalities

Front

What is an inequality?

Back

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

How do you solve the inequality -4 + y < -8?

Back

To solve -4 + y < -8, add 4 to both sides to get y < -4.

Front

What is the solution to the inequality y + 5 ≥ 2?

Back

To solve y + 5 ≥ 2, subtract 5 from both sides to get y ≥ -3.

Front

What does the symbol '≥' mean in inequalities?

Back

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

Front

What does the symbol '≤' mean in inequalities?

Back

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

Front

How do you graph the solution to the inequality x - 3 > -3?

Back

To graph x - 3 > -3, first solve for x to get x > 0, then draw an open circle at 0 and shade to the right.

Front

What is the solution to the inequality -8x < 48?

Back

To solve -8x < 48, divide both sides by -8 (remember to flip the inequality sign) to get x > -6.

Front

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

Back

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