Solving 1-Variable Inequalities 25/26

Front

What is an inequality?

Back

An 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'.

Front

What does the symbol '>' mean?

Back

The symbol '>' means 'greater than'.

Front

What does the symbol '≤' mean?

Back

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

Front

When solving the inequality 3x + 5 ≥ 12, what is the first step?

Back

Subtract 5 from both sides to isolate the term with x.

Front

What happens to the inequality sign when you multiply or divide by a negative number?

Back

You need to flip or reverse the inequality sign.

Front

How do you check if a value satisfies an inequality?

Back

Substitute the value into the inequality and see if the statement is true.

Front

What is the solution set of the inequality -4a ≤ -28?

Back

a ≥ 7 (after dividing both sides by -4 and flipping the inequality sign).

Front

What does an open circle represent on a number line when graphing inequalities?

Back

An open circle represents that the endpoint is not included in the solution set (used for < or >).