A1 - Unit 3 Inequalities Review

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using inequality symbols such as <, >, ≤, 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 express 'x is less than -2 or greater than 5' in inequality notation?

Back

x < -2 OR x > 5.

Front

What is interval notation for 'x is greater than or equal to -7 and less than 8'?

Back

[-7, 8).

Front

What type of bracket is used in interval notation for 'or ≤ or ≥'?

Back

Square brackets [ ] are used.

Front

How do you solve the inequality 4(2a + 3) < 3(a - 1)?

Back

First, distribute: 8a + 12 < 3a - 3. Then, combine like terms: 5a < -15, so a < -3.

Front

What is the solution set for the inequality x > 2 or x ≤ -3?

Back

The solution set includes all numbers greater than 2 and all numbers less than or equal to -3.

Front

What does the solution 'x < -2 OR x > 5' represent on a number line?

Back

It represents two separate regions: all numbers less than -2 and all numbers greater than 5.

Front

How do you write the inequality for the graph that shows a line with an open circle at -2 and a closed circle at 5?

Back

x < -2 OR x ≤ 5.