Intro To Inequalities

Front

What is an inequality?

Back

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

Front

What does the symbol '>' mean in inequalities?

Back

The symbol '>' means 'greater than'. For example, a > 5 means 'a is greater than 5'.

Front

What does the symbol '<' mean in inequalities?

Back

The symbol '<' means 'less than'. For example, b < 3 means 'b is less than 3'.

Front

What does the symbol '≥' mean in inequalities?

Back

The symbol '≥' means 'greater than or equal to'. For example, c ≥ 4 means 'c is greater than or equal to 4'.

Front

What does the symbol '≤' mean in inequalities?

Back

The symbol '≤' means 'less than or equal to'. For example, d ≤ 2 means 'd is less than or equal to 2'.

Front

How do you represent 'x is greater than 3' on a number line?

Back

You draw an open circle at 3 and shade to the right.

Front

How do you represent 'y is less than or equal to -1' on a number line?

Back

You draw a closed circle at -1 and shade to the left.

Front

What is the solution set for the inequality a ≥ 11?

Back

The solution set includes all numbers greater than or equal to 11.

Front

What is the solution set for the inequality b ≤ -2?

Back

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

Front

How do you solve the inequality x + 2 > 5?

Back

Subtract 2 from both sides: x > 3.