Compound inequalities

Front

What is a compound inequality?

Back

A compound inequality combines two or more inequalities using 'and' or 'or'.

Front

Can you use the symbols [ or ] with infinity?

Back

No, you cannot use brackets with infinity; you must use parentheses.

Front

What does the symbol '≤' mean?

Back

It means 'less than or equal to'.

Front

What does the symbol '≥' mean?

Back

It means 'greater than or equal to'.

Front

How do you express 'x is greater than 5' in inequality form?

Back

x > 5.

Front

How do you express 'x is less than -2' in inequality form?

Back

x < -2.

Front

What is interval notation for 'x is less than 3'?

Back

(-∞, 3).

Front

What is interval notation for 'x is greater than or equal to 4'?

Back

[4, ∞).

Front

What does 'x < 2 or x > 5' represent on a number line?

Back

It represents two separate regions: all numbers less than 2 and all numbers greater than 5.

Front

What is the solution set for the compound inequality 'x ≥ -3 and x < 2'?

Back

[-3, 2).