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 an open circle on a number line represent?

Back

An open circle indicates that the number is not included in the solution set of the inequality.

Front

What does a closed circle on a number line represent?

Back

A closed circle indicates that the number is included in the solution set of the inequality.

Front

How do you solve the inequality -3n + 8 < 26?

Back

Subtract 8 from both sides to get -3n < 18, then divide by -3 (remember to flip the inequality) to find n > -6.

Front

What is the solution to the inequality 14x - 3 ≤ -3?

Back

Add 3 to both sides to get 14x ≤ 0, then divide by 14 to find x ≤ 0.

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 graph the inequality b < -2?

Back

Draw a number line, place an open circle at -2, and shade to the left.

Front

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

Back

'>' means greater than, while '≥' means greater than or equal to.

Front

If x > 5, what does this mean on a number line?

Back

It means to place an open circle at 5 and shade to the right.