Compound Inequalities

Front

What is a compound inequality?

Back

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

Front

What does an 'or' compound inequality indicate on a number line?

Back

An 'or' compound inequality indicates that the solution includes values that are outside the two points on the number line.

Front

What does an 'and' compound inequality indicate on a number line?

Back

An 'and' compound inequality indicates that the solution includes values that are between the two points on the number line.

Front

What is the difference between '>' and '≥' in inequalities?

Back

'>' means greater than, while '≥' means greater than or equal to.

Front

What is the solution to the inequality |x + 9| = -5?

Back

There is no solution, as the absolute value cannot be negative.

Front

How do you graph the inequality x > 1?

Back

You draw an open circle at 1 and shade to the right.

Front

How do you graph the inequality x ≥ -2?

Back

You draw a closed circle at -2 and shade to the right.

Front

What is the graphical representation of the compound inequality x < 3 and x > 1?

Back

You draw a line between 1 and 3, shading the area between them.

Front

What is the graphical representation of the compound inequality x < -1 or x > 2?

Back

You draw open circles at -1 and 2, shading to the left of -1 and to the right of 2.

Front

What does the term 'solution set' refer to in the context of inequalities?

Back

The solution set refers to all the values that satisfy the inequality.