Inequalities Review

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using symbols such as <, >, ≤, or ≥.

Front

What does the symbol '>' mean in inequalities?

Back

The symbol '>' means 'greater than'. For example, x > -4 means x is any number greater than -4.

Front

What does the symbol '<' mean in inequalities?

Back

The symbol '<' means 'less than'. For example, x < 5 means x is any number less than 5.

Front

What does the symbol '≥' mean in inequalities?

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ -2 means x is any number greater than or equal to -2.

Front

What does the symbol '≤' mean in inequalities?

Back

The symbol '≤' means 'less than or equal to'. For example, x ≤ 3 means x is any number less than or equal to 3.

Front

How do you solve the inequality -4a ≤ -28?

Back

Divide both sides by -4, remembering to flip the inequality sign: a ≥ 7.

Front

What is the solution to the inequality 10 ≥ x - 3?

Back

Add 3 to both sides: x ≤ 13.

Front

How do you solve the inequality -2(x + 2) < 14?

Back

Distribute -2: -2x - 4 < 14. Then add 4 to both sides: -2x < 18. Finally, divide by -2 and flip the inequality: x > -9.

Front

What is the graph of the inequality x > -4?

Back

The graph shows an open circle at -4 and a line extending to the right.

Front

What is the graph of the inequality s ≥ -2?

Back

The graph shows a closed circle at -2 and a line extending to the right.