Inequality Flashcard

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using symbols such as <, >, ≤, or ≥.

Front

What does the symbol '≥' mean?

Back

'≥' means 'greater than or equal to'. It indicates that one value is either greater than or equal to another.

Front

What does the symbol '≤' mean?

Back

'≤' means 'less than or equal to'. It indicates that one value is either less than or equal to another.

Front

When solving an inequality, do you flip the inequality sign when multiplying or dividing by a negative number?

Back

Yes, you must flip the inequality sign when multiplying or dividing both sides of an inequality by a negative number.

Front

Solve the inequality: 3x ≥ 12. What is x?

Back

x ≥ 4.

Front

What does the solution x > -6 represent in terms of a number line?

Back

It represents all numbers to the right of -6, not including -6 itself.

Front

How do you graph the inequality 11 ≤ a on a number line?

Back

You place a closed circle on 11 and shade to the right, indicating all numbers greater than or equal to 11.

Front

What is the solution to the inequality -8x < 48?

Back

x > -6.

Front

What does the inequality -2x + 3 > -7 represent?

Back

It represents all values of x that make the expression -2x + 3 greater than -7.

Front

If a graph shows a line with an open circle at 11, what inequality does it represent?

Back

It represents 11 > a.