One Step 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 'greater than'.

Front

What does the symbol '<' represent in inequalities?

Back

The symbol '<' means 'less than'.

Front

How do you solve the inequality 12 > x + 6?

Back

To solve 12 > x + 6, subtract 6 from both sides to get 6 > x, or x < 6.

Front

What is the solution to the inequality x + 5 < 6?

Back

The solution is x < 1.

Front

How do you isolate x in the inequality x - 2 > 4?

Back

Add 2 to both sides to get x > 6.

Front

What is the solution to the inequality a - 17 > -16?

Back

The solution is a > 1.

Front

How do you solve the inequality x + 5 > 9?

Back

Subtract 5 from both sides to get x > 4.

Front

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

Back

Strict inequalities use '>' or '<', while non-strict inequalities use '≥' or '≤'.

Front

What does it mean to graph an inequality on a number line?

Back

Graphing an inequality on a number line involves shading the region that represents all possible solutions and using an open circle for strict inequalities and a closed circle for non-strict inequalities.