Inequalities Flashcard

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

When solving an inequality, what happens if you multiply or divide by a negative number?

Back

You must flip the inequality sign when you multiply or divide both sides of an inequality by a negative number.

Front

Solve the inequality: 5(6 + 3r) + 7 ≥ 127. What is the range of r?

Back

r ≥ 6.

Front

Solve the inequality: -3x ≥ 12. Should you flip the sign?

Back

Yes, you should flip the sign when dividing by -3.

Front

What does an open dot represent when graphing inequalities?

Back

An open dot represents that the value is not included in the solution set, used with < or >.

Front

What does a closed dot represent when graphing inequalities?

Back

A closed dot represents that the value is included in the solution set, used with ≤ or ≥.

Front

Write the inequality for John needing at least an 80 on his test to win.

Back

J ≥ 80.

Front

Solve the inequality: 3x ≥ 12. Do you need to flip the sign?

Back

No, you do not need to flip the sign.