Inequality Flashcard

Front

What does the inequality symbol '≥' mean?

Back

It means 'greater than or equal to'. It indicates that a value can be either greater than or equal to a specified number.

Front

How do you solve the inequality 8x ≥ -32?

Back

Divide both sides by 8: x ≥ -4.

Front

What does the phrase 'at least' indicate in mathematical terms?

Back

It indicates the use of the 'greater than or equal to' symbol (≥).

Front

What type of dot is used when graphing inequalities with '≤' or '≥'?

Back

A closed dot is used.

Front

How do you represent the inequality '11 is less than or equal to a' in symbols?

Back

It is represented as 11 ≤ a.

Front

What is the solution to the inequality 4x - 2 ≤ -22?

Back

First, add 2 to both sides: 4x ≤ -20. Then divide by 4: x ≤ -5.

Front

What does the inequality symbol '<' mean?

Back

It means 'less than'. It indicates that a value is smaller than a specified number.

Front

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

Back

'>' means 'greater than' (not including the number), while '≥' means 'greater than or equal to' (including the number).

Front

When graphing the inequality x < 3, what type of dot is used?

Back

An open dot is used.

Front

What does the inequality 5x + 3 > 18 represent?

Back

It represents that 5 times a number x plus 3 is greater than 18.