Solving and Graphing Inequalities

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 '<' represent in an inequality?

Back

The symbol '<' means 'less than'.

Front

What does the symbol '>' represent in an inequality?

Back

The symbol '>' means 'greater than'.

Front

What does the symbol '≤' represent in an inequality?

Back

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

Front

What does the symbol '≥' represent in an inequality?

Back

The symbol '≥' means 'greater than or equal to'.

Front

How do you solve the inequality -5m < 10?

Back

To solve -5m < 10, divide both sides by -5 and reverse the inequality sign: m > -2.

Front

When graphing an inequality, when do you use a closed dot?

Back

You use a closed dot when the inequality includes ≤ or ≥.

Front

When graphing an inequality, when do you use an open dot?

Back

You use an open dot when the inequality uses < or >.

Front

How do you solve the inequality 6t + 4 ≤ -2?

Back

To solve 6t + 4 ≤ -2, subtract 4 from both sides to get 6t ≤ -6, then divide by 6 to find t ≤ -1.

Front

How do you solve the inequality -4d - 9 ≤ 3?

Back

To solve -4d - 9 ≤ 3, add 9 to both sides to get -4d ≤ 12, then divide by -4 and reverse the inequality sign to find d ≥ -3.