Compound Inequalities and Absolute Value Equations

Front

What is a compound inequality?

Back

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

Front

Solve the compound inequality: x + 8 < 3 or -8x < -40.

Back

x < -5 or x > 5.

Front

What does the symbol ≤ represent in inequalities?

Back

It represents 'less than or equal to'.

Front

What does the symbol ≥ represent in inequalities?

Back

It represents 'greater than or equal to'.

Front

When graphing inequalities, what does a closed dot indicate?

Back

It indicates that the endpoint is included in the solution (used with ≤ or ≥).

Front

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

Back

Shading that always connects the two dots.

Front

What is the solution set for the inequality -13 < 2x + 5 < 15?

Back

-9 < x < 5.

Front

What is the solution to the absolute value equation |x - 3| = 0?

Back

x = 3.

Front

What does the symbol < represent in inequalities?

Back

It represents 'less than'.

Front

What does the symbol > represent in inequalities?

Back

It represents 'greater than'.