Question

You do not need to flip the inequality sign when solving the inequality -3t + 7 ≥ 9. TRUE or FALSE?

I'm not that great at knowing when to flip inequality signs... Can someone help me ASAP?

Thank you for your assistance in advance.
Nic

Answer 1

Flip the sign when you multiply or divide both sides by a negative number.

Study this site.

http://www.mathsisfun.com/algebra/inequality-solving.html

Answer 2

Usually you do not have to worry about flipping until the last step, or until you have isolated the variable term on one side

e.g.

-3t + 7 ≥ 9
-3t ≥ 9-7
-3t ≥ 2
now we care about it.

Whenever you multiply or divide by a negative number, we have to switch the direction of the inequality sign

so to get t all alone, we have to divide by -3 , thus
t ≤ -2/3

Answer 3

Thanks Ms. Sue and Reiny!

Answer 4

You are welcome.

Answer 5

Thanks to you both 4 helping me!