Compound Inequalities

Front

What is a compound inequality?

Back

A compound inequality is an inequality that combines two or more simple inequalities using the words 'and' or 'or'.

Front

What does the symbol '<' mean?

Back

The symbol '<' means 'less than'.

Front

What does the symbol '>' mean?

Back

The symbol '>' means 'greater than'.

Front

How do you solve the compound inequality -13 < 2x + 5 < 15?

Back

First, isolate 2x by subtracting 5 from all parts: -18 < 2x < 10. Then divide by 2: -9 < x < 5.

Front

What is the solution set for the inequality 2x + 1 > 9?

Back

The solution is x > 4.

Front

What does 'or' mean in compound inequalities?

Back

'Or' indicates that at least one of the inequalities must be true for the solution to be valid.

Front

What is interval notation?

Back

Interval notation is a way of writing subsets of the real number line using intervals.

Front

How do you express the solution -9 < x ≤ -4 in interval notation?

Back

The interval notation is (-9, -4].

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'.