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 'and' mean in a compound inequality?

Back

In a compound inequality, 'and' means that both conditions must be true at the same time.

Front

What does 'or' mean in a compound inequality?

Back

In a compound inequality, 'or' means that at least one of the conditions must be true.

Front

How do you solve a compound inequality with 'and'?

Back

To solve a compound inequality with 'and', find the intersection of the solution sets of the individual inequalities.

Front

How do you solve a compound inequality with 'or'?

Back

To solve a compound inequality with 'or', find the union of the solution sets of the individual inequalities.

Front

What is the solution to the inequality: 2 < x + 2 < 5?

Back

0 < x < 3.

Front

What is the solution to the inequality: -3 ≤ 2x - 1 ≤ 5?

Back

-1 ≤ x ≤ 3.

Front

How would you express the graph of x > 2 or x ≤ -3 in inequality form?

Back

x > 2 or x ≤ -3.

Front

What is the difference between 'x < 5' and 'x ≤ 5'?

Back

'x < 5' means x is less than 5, while 'x ≤ 5' means x can be 5 or less.

Front

What is the graphical representation of x ≤ -2 or x > 5?

Back

The graph includes all numbers less than or equal to -2 and all numbers greater than 5.