Compound Inequalities

Front

What is a compound inequality?

Back

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

Front

What does the symbol '≥' represent?

Back

Greater than or equal to.

Front

When graphing the inequality x > 2, what type of dot is used?

Back

An open dot is used because 2 is not included in the solution.

Front

What does the inequality x ≤ -3 mean?

Back

x can be any number less than or equal to -3.

Front

How do you represent the compound inequality x > 2 or x ≤ -3 on a number line?

Back

Shade the region to the right of 2 and the region to the left of -3.

Front

What is the solution set for the inequality 2x + 10 ≤ 25?

Back

x ≤ 7.5.

Front

What does 'or' mean in compound inequalities?

Back

At least one of the inequalities must be true.

Front

What does 'and' mean in compound inequalities?

Back

Both inequalities must be true at the same time.

Front

How do you graph the inequality x < 5?

Back

Use an open dot at 5 and shade to the left.

Front

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

Back

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