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

When graphing 'OR' inequalities, how does the shading appear?

Back

The shading points opposite, but sometimes crosses.

Front

What symbol indicates an open dot when graphing an inequality?

Back

The symbols '<' and '>' indicate an open dot.

Front

What symbols indicate a closed dot when graphing an inequality?

Back

The symbols '≤' and '≥' indicate a closed dot.

Front

What does the inequality 'x > 2 or x ≤ -3' represent when graphed?

Back

It represents two separate regions on the number line: values greater than 2 and values less than or equal to -3.

Front

What does the inequality '2 ≤ x ≤ 4' represent when graphed?

Back

It represents all values of x that are between 2 and 4, inclusive.

Front

What is the difference between 'and' and 'or' in compound inequalities?

Back

'And' means both conditions must be true simultaneously, while 'or' means at least one condition must be true.

Front

How do you graph the inequality 'x < 3'?

Back

You use an open dot at 3 and shade to the left.

Front

How do you graph the inequality 'x ≥ -1'?

Back

You use a closed dot at -1 and shade to the right.

Front

What does the graph of 'x > 5 and x < 10' look like?

Back

It shows a line segment between 5 and 10, with open dots at both ends.