Graphing and Writing 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 '≥' mean?

Back

The symbol '≥' 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

The symbol '≤' 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 graph the inequality r ≥ -6?

Back

To graph r ≥ -6, draw a number line, place a closed circle on -6 (indicating -6 is included), and shade to the right to show all values greater than -6.

Front

Which inequality represents 'A healthy daily diet contains no more than 24 grams of sugar'?

Back

The inequality is x ≤ 24, meaning the amount of sugar (x) should be less than or equal to 24 grams.

Front

How do you graph the inequality ½ ≤ a?

Back

To graph ½ ≤ a, draw a number line, place a closed circle on ½ (indicating ½ is included), and shade to the right to show all values greater than or equal to ½.

Front

What inequality represents 'Mike has at least $250 in his savings account'?

Back

The inequality is m ≥ 250, meaning Mike's savings (m) should be greater than or equal to $250.

Front

What inequality represents 'Hannah wants to spend no more than $1,250 on her trip'?

Back

The inequality is c ≤ 1,250, meaning the amount Hannah spends (c) should be less than or equal to $1,250.

Front

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

Back

The symbol '>' means 'greater than' and does not include the value, while '≥' means 'greater than or equal to' and includes the value.

Front

What is the difference between '<' and '≤'?

Back

The symbol '<' means 'less than' and does not include the value, while '≤' means 'less than or equal to' and includes the value.