Compound inequalities

Front

What is a compound inequality?

Back

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

Front

Solve: 3x + 2 < -7 or -4x + 5 < 1

Back

x < -3 or x > 1

Front

What does the symbol '≤' mean?

Back

It means 'less than or equal to'.

Front

Solve: -3 ≤ 2x - 1 ≤ 5

Back

-1 ≤ x ≤ 3

Front

Can you use the symbols [ or ] with infinity?

Back

No, you cannot use brackets with infinity.

Front

Express the following in Interval Notation: -8 ≤ x < 8

Back

[-8, 8)

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 an inequality for Graph 3:

Back

x ≤ -2 OR x > 5

Front

What is interval notation?

Back

A way to represent a range of numbers using brackets and parentheses.

Front

Solve: 2x - 3 > 5 or x + 4 < 2

Back

x > 4 or x < -2