Question

Izzie is trying to solve this inequality: 3(t+1)−4t≥−5
After she solves it, she shows it to you and asks you if she did it correctly.

This is the work she completed:

Step 1: 3t+3−4t≥−5
Step 2: −t+3≥−5
Step 3: −t≥−2
Step 4: t≤2


(12 points)
True False
Izzie made no mistakes in solving this inequality
True – Izzie made no mistakes in solving this inequality
False – Izzie made no mistakes in solving this inequality
Izzie made a mistake going from step 2 to step 3
True – Izzie made a mistake going from step 2 to step 3
False – Izzie made a mistake going from step 2 to step 3
Izzie made a mistake going from step 1 to step 2
True – Izzie made a mistake going from step 1 to step 2
False – Izzie made a mistake going from step 1 to step 2
Izzie should not have changed the inequality symbol from ≥
to ≤
True – Izzie should not have changed the inequality symbol from is greater than or equal to to is less than or equal to
False – Izzie should not have changed the inequality symbol from is greater than or equal to to is less than or equal to
The correct answer should have been t≤8
True – The correct answer should have been t is less than or equal to 8
False – The correct answer should have been t is less than or equal to 8
Izzie made a mistake going from step 3 to step 4
True – Izzie made a mistake going from step 3 to step 4
False – Izzie made a mistake going from step 3 to step 4

Answer 1

5. Which graph represents the solutions to this inequality: 5n−3<3(n+1)
(2 points)
Responses