Writing and Graphing 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

How do you represent 'at least' in an inequality?

Back

'At least' is represented by the symbol '≥' in an inequality.

Front

What does the inequality k < 3 represent on a number line?

Back

It represents all numbers less than 3, with an open circle at 3 indicating that 3 is not included.

Front

How do you graph the inequality g ≤ 45?

Back

You graph it by placing a closed circle at 45 and shading to the left to indicate all values less than or equal to 45.

Front

What does the inequality 2 > p mean?

Back

It means that p is any number less than 2.

Front

How do you express 'at most' in an inequality?

Back

'At most' is represented by the symbol '≤' in an inequality.

Front

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

Back

Strict inequalities (<, >) do not include the boundary value, while non-strict inequalities (≤, ≥) do include the boundary value.

Front

How do you interpret the inequality 1/2 > b?

Back

It means that b is any number less than 1/2.

Front

What does the symbol '>' indicate in an inequality?

Back

The symbol '>' indicates that the value on the left is greater than the value on the right.

Front

How do you write the inequality for 'the temperature will be at least -4 degrees'?

Back

The inequality is written as t ≥ -4.