TO FLIP or NOT TO FLIP

Front

What does it mean to 'flip' an inequality?

Back

Flipping an inequality means reversing the direction of the inequality sign when multiplying or dividing both sides by a negative number.

Front

Solve the inequality: 8 > -5 + x

Back

13 > x

Front

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

Back

The inequality sign must be flipped.

Front

Solve the inequality: -3x > 9

Back

x < -3 (Flip the inequality when dividing by -3).

Front

Solve the inequality: 18 < -9x

Back

-2 > x (Flip the inequality when dividing by -9).

Front

What is the solution to the inequality: -7 + x > 23?

Back

x > 30 (No need to flip the inequality).

Front

What is the result of multiplying both sides of an inequality by a negative number?

Back

The direction of the inequality sign changes.

Front

If x > 5, what can we say about -x?

Back

-x < -5 (Flipping the inequality when multiplying by -1).

Front

What is the first step in solving the inequality: 2x - 4 < 10?

Back

Add 4 to both sides: 2x < 14.

Front

What is the solution to the inequality: 5x + 3 < 18?

Back

x < 3 (Subtract 3 and then divide by 5).