Compound Inequality Bell Work

Front

What is a compound inequality?

Back

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

Front

What does 'x > 2 or x ≤ -3' represent on a number line?

Back

It represents all numbers greater than 2 and all numbers less than or equal to -3.

Front

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

Back

The shading overlaps between the two inequalities.

Front

What symbols indicate a closed dot when graphing inequalities?

Back

The symbols ≤ and ≥ indicate a closed dot.

Front

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

Back

'And' requires both conditions to be true, while 'or' requires at least one condition to be true.

Front

How do you graph 'x < 1 or x > 10'?

Back

You shade to the left of 1 and to the right of 10 on the number line.

Front

What does the inequality '1 ≤ x ≤ 10' mean?

Back

It means x is greater than or equal to 1 and less than or equal to 10.

Front

What is the graphical representation of 'x > 2'?

Back

An open dot at 2 with shading to the right.

Front

What does 'x < -3' look like on a number line?

Back

An open dot at -3 with shading to the left.

Front

What is the solution set for 'x > 2 and x < 5'?

Back

The solution set is all numbers between 2 and 5, not including 2 and 5.