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 the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'.

Front

How do you solve the compound inequality -3 ≤ 2x - 1 ≤ 5?

Back

Add 1 to all parts: -2 ≤ 2x ≤ 6. Then divide by 2: -1 ≤ x ≤ 3.

Front

Can you use the symbols [ or ] with infinity?

Back

No, you cannot use the symbols [ or ] with infinity.

Front

What is the solution to the inequality x + 8 < 3?

Back

x < -5.

Front

What is the solution to the inequality -8x < -40?

Back

x > 5.

Front

What does 'x < -5 or x > 5' represent?

Back

It represents values of x that are either less than -5 or greater than 5.

Front

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

Back

'And' means both conditions must be true, while 'or' means at least one condition must be true.

Front

Write the compound inequality for the graph showing values between -2 and 5, inclusive.

Back

-2 ≤ x ≤ 5.