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, or equal to the other.

Front

What symbols are used to represent 'greater than' and 'less than'?

Back

> (greater than) and < (less than)

Front

What does the symbol '≥' represent?

Back

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

Front

What does the symbol '≤' represent?

Back

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

Front

How do you graph the inequality 'x > 5'?

Back

You draw a number line, place an open dot at 5, and shade to the right.

Front

How do you graph the inequality 'x ≤ 3'?

Back

You draw a number line, place a closed dot at 3, and shade to the left.

Front

What is the difference between a closed dot and an open dot on a graph?

Back

A closed dot indicates that the number is included in the solution (≤ or ≥), while an open dot indicates that the number is not included ( < or >).

Front

What is the solution set of the inequality 'x < 4'?

Back

The solution set includes all numbers less than 4.

Front

How do you solve the inequality '2x + 3 < 11'?

Back

Subtract 3 from both sides to get 2x < 8, then divide by 2 to find x < 4.

Front

What does the inequality 'x ≥ 7' mean in terms of a number line?

Back

It means that x can be 7 or any number greater than 7, represented by a closed dot at 7 and shading to the right.