4-7 inequalities

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, 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

When graphing the inequality a ≥ 11, what type of dot is used?

Back

A closed dot is used when graphing a ≥ 11, indicating that 11 is included in the solution.

Front

When graphing the inequality a < 11, what type of dot is used?

Back

An open dot is used when graphing a < 11, indicating that 11 is not included in the solution.

Front

How do you represent the inequality r ≥ -6 on a number line?

Back

You would place a closed dot on -6 and shade to the right, indicating all numbers greater than or equal to -6.

Front

What is the solution set for the inequality x < 3?

Back

The solution set includes all numbers less than 3, represented on a number line with an open dot at 3.

Front

What is the difference between '>' and '≥'?

Back

'>' means greater than, while '≥' means greater than or equal to. The latter includes the boundary value.