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
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
Thanks Ms. Sue and Reiny!
You are welcome.
Thanks to you both 4 helping me!
To solve the inequality -3t + 7 ≥ 9, you do need to flip the inequality sign, but there's a specific rule for when you should do this.
Here are the steps to solve the inequality:
1. Start by subtracting 7 from both sides of the inequality:
-3t + 7 - 7 ≥ 9 - 7
-3t ≥ 2
2. Now, to isolate the variable t, divide both sides of the inequality by -3. Here comes the rule: when dividing or multiplying both sides of an inequality by a negative number, you need to flip the inequality sign.
-3t / -3 ≤ 2 / -3
t ≤ -2/3
In this case, the original inequality is -3t + 7 ≥ 9. After solving, the result is t ≤ -2/3.
So, the statement "You do not need to flip the inequality sign when solving the inequality -3t + 7 ≥ 9" is FALSE. The inequality sign does need to be flipped in this case.
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