Why We Flip the Inequality

If you multiply both sides of the true inequality 2 < 5 by -1 without flipping the sign, what is the resulting incorrect inequality?

• -2 < -5 (FALSE)

• -2 > -5 (TRUE)

• 2 < -5 (FALSE)

• -2 = -5 (FALSE)

If you multiply both sides of the true inequality -5 < -2 by a positive number like 2, what happens to the inequality sign?

• It flips to >.

• It remains <.

• It changes to =.

• It becomes ≤.

If you multiply both sides of the true inequality 2 < 5 by -1 without flipping the sign, what is the resulting incorrect inequality?

• -2 < -5

• -2 > -5

• 2 < -5

• -2 = -5

If you multiply both sides of the true inequality 2 < 5 by a positive number like 2, what happens to the inequality sign?

• It flips to >.

• It remains <.

• It changes to =.

• It becomes ≤.

What is the correct solution set to the inequality -2x < 8?

• x < -4

• x > -4

• x < 4

• x > 4

Solve the inequality -2x < 8?

• x < -4

• x > -4

• x < 4

• x > 4

When solving an inequality, under what condition must you flip the inequality sign?

• When adding a negative number to both sides.

• When subtracting a negative number from both sides.

• When multiplying or dividing both sides by a negative number.

• When multiplying or dividing both sides by a positive number.

Which inequalities would need to be flipped?

Groups:

(a) Flipped

,

(b) Not Flipped

• 5x > -25

• x-5 > -25

• -5x > -25

• x + 5 > -25