simple inequalities

Front

What is a simple inequality?

Back

A simple 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 'greater than or equal to'.

Front

What does the symbol '≤' mean?

Back

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

Front

How do you represent the inequality '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 the inequality 'x is less than or equal to 5' on a number line?

Back

You draw a closed circle at 5 and shade to the left.

Front

What is the difference between an open circle and a closed circle on a number line?

Back

An open circle indicates that the number is not included (e.g., > or <), while a closed circle indicates that the number is included (e.g., ≥ or ≤).

Front

If x < 4, what numbers can x be?

Back

x can be any number less than 4, such as 3, 2, 1, or even negative numbers.

Front

What does the inequality '11 ≤ a' mean?

Back

It means that a is greater than or equal to 11.

Front

How would you graph the inequality 'x > -2'?

Back

You would draw an open circle at -2 and shade to the right.

Front

What is the solution set for the inequality 'x < 0'?

Back

The solution set includes all negative numbers.