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 '≤' represent in an inequality?

Back

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

Front

What does the symbol '≥' represent in an inequality?

Back

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

Front

How do you graph the inequality x < 3?

Back

You draw a number line, place an open dot at 3, and shade to the left.

Front

How do you graph the inequality x ≥ -2?

Back

You draw a number line, place a closed dot at -2, and shade to the right.

Front

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

Back

The solution is -1 ≤ x ≤ 3.

Front

What does 'or' mean in a compound inequality?

Back

'Or' indicates that at least one of the inequalities must be true.

Front

What does 'and' mean in a compound inequality?

Back

'And' indicates that both inequalities must be true simultaneously.

Front

Solve the inequality: 3x + 2 < -7.

Back

x < -3.

Front

Solve the inequality: -4x + 5 < 1.

Back

x > 1.