Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using inequality symbols (>, <, ≥, ≤) to show that one expression is greater than, less than, or equal to another.

Front

What does the symbol '≥' mean?

Back

'≥' means 'greater than or equal to'. It indicates that the value on the left is either greater than or equal to the value on the right.

Front

What does the symbol '≤' mean?

Back

'≤' means 'less than or equal to'. It indicates that the value on the left is either less than or equal to the value on the right.

Front

How do you solve the inequality x - 7 ≥ 4?

Back

Add 7 to both sides: x ≥ 11.

Front

What is the solution to the inequality -3w - 2 < -17?

Back

Add 2 to both sides: -3w < -15. Then divide by -3 (remember to flip the inequality): w > 5.

Front

How do you express 'at least 20 club members' as an inequality?

Back

m ≥ 20.

Front

What is the solution to the inequality 5x - 7 ≥ 8?

Back

Add 7 to both sides: 5x ≥ 15. Then divide by 5: x ≥ 3.

Front

What does it mean if a solution to an inequality is 'x < 5'?

Back

It means that x can be any number less than 5.

Front

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

Back

Draw a solid dot on 3 and shade to the right.

Front

What is the difference between '>' and '≥'?

Back

'>' means greater than (not including the number), while '≥' means greater than or equal to (including the number).