Inequalities - Flip or Nah

Front

What is an inequality?

Back

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

Front

What does it mean to 'flip' an inequality?

Back

To 'flip' an inequality means to reverse the inequality sign when multiplying or dividing both sides by a negative number.

Front

If you multiply or divide both sides of an inequality by a positive number, what happens to the inequality sign?

Back

The inequality sign remains the same.

Front

Solve the inequality: -4 ≤ -4m. What do you do?

Back

You flip the inequality to get m ≥ 1.

Front

What is the solution to the inequality -5x + 12 > 35?

Back

First, subtract 12 from both sides to get -5x > 23, then divide by -5 and flip the inequality to get x < -4.6.

Front

In the inequality 5 ≥ m - 3, how do you isolate m?

Back

Add 3 to both sides to get m ≤ 8.

Front

Sally solved -3x < 9 and got x < -3. What did she do wrong?

Back

She did not flip the inequality when dividing by -3; the correct answer is x > -3.

Front

What happens to the inequality sign when you subtract a number from both sides?

Back

The inequality sign remains the same.

Front

If you have the inequality x + 4 < 10, how do you solve for x?

Back

Subtract 4 from both sides to get x < 6.

Front

What is the result of multiplying both sides of the inequality -2x > 8 by -1?

Back

You flip the inequality to get 2x < -8.