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 not equal to the other.

Front

What does the symbol '≤' mean?

Back

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

Front

What does the symbol '≥' mean?

Back

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

Front

How do you solve the inequality x + 5 > 10?

Back

Subtract 5 from both sides: x > 5.

Front

What does the graph of x < -4 look like?

Back

It is a number line with an open circle at -4 and shading to the left.

Front

What is the solution to the inequality 5 - 3x < -4?

Back

Add 3x to both sides and then add 4: 5 < 3x, then divide by 3: x > 3.

Front

What does the symbol '<' mean?

Back

The symbol '<' means 'less than'.

Front

What does the symbol '>' mean?

Back

The symbol '>' means 'greater than'.

Front

How do you represent the inequality x ≥ 3 on a number line?

Back

It is represented with a closed circle at 3 and shading to the right.

Front

What is the solution to the inequality x < 4?

Back

All numbers less than 4.