Inequalities, Set Builder Notation, and Interval Notation

Front

What is set builder notation?

Back

A mathematical notation for describing a set by stating the properties that its members must satisfy, typically written in the form { x | condition }.

Front

How do you express the inequality y > 10 in set builder notation?

Back

{ y | y > 10 }

Front

What does the symbol '≤' mean in inequalities?

Back

It means 'less than or equal to'.

Front

Is -25 a solution to the inequality x ≤ -10?

Back

Yes, it is a solution.

Front

What type of brackets are used in interval notation for '≤' or '≥'?

Back

[ ] (square brackets) are used.

Front

Is -25 a solution to the inequality x > 15?

Back

No, it is not a solution.

Front

How do you express the inequality x ≥ -3 in interval notation?

Back

[-3, ∞ )

Front

What does the symbol '>' mean in inequalities?

Back

It means 'greater than'.

Front

What is interval notation?

Back

A way of representing a range of numbers using brackets and parentheses to indicate whether endpoints are included or excluded.

Front

How do you express the solution to the inequality y < 5 in interval notation?

Back

(-∞, 5)