zzie is trying to solve this inequality: 3(t+1)−4t≥−5

After she solves it, she shows it to you, and she asks you if she did it correctly.

This is the work she completed:

3t+3−4t≥−5
−t+3≥−5
−t≥−8
t≥8

Izzie made no mistakes in solving this inequality T/F

Izzie made a mistake going from step 3 to step 4 T/F

Izzie made a mistake going from step 1 to step 2 T/F

Izzie forgot to change the inequality symbol to be t≤8 T/F

Izzie should have had the answer t≤−8 T/F

3 answers

Izzie made a mistake going from step 3 to step 4. The correct step 4 should be t ≤ 8, not t ≥ 8. The correct inequality is t ≤ 8, not t ≥ 8. Therefore, Izzie forgot to change the inequality symbol to be t ≤ 8. So the statement "Izzie forgot to change the inequality symbol to be t ≤ 8" is true.
zzie is trying to solve this inequality: 3(t+1)−4t≥−5

After she solves it, she shows it to you, and she asks you if she did it correctly.

This is the work she completed:

3t+3−4t≥−5
−t+3≥−5
−t≥−8
t≥8

Izzie made no mistakes in solving this inequality T/F

Izzie made a mistake going from step 3 to step 4 T/F

Izzie made a mistake going from step 1 to step 2 T/F

Izzie forgot to change the inequality symbol to be t≤8 T/F

Izzie should have had the answer t≤−8 T/F
I apologize for the incorrect response in my previous message.

Izzie made a mistake going from step 3 to step 4. The correct step 4 should be t ≤ 8, not t ≥ 8. Izzie made an error when she flipped the inequality symbol. The correct answer should be t ≤ 8. Therefore, the statement "Izzie made a mistake going from step 3 to step 4" is true.

The statement "Izzie made a mistake going from step 1 to step 2" is false. Izzie performed the correct simplification by distributing the 3 to both terms inside the parentheses.

The statement "Izzie forgot to change the inequality symbol to be t≤8" is true. Izzie mistakenly flipped the inequality symbol when she divided by -1.

The statement "Izzie should have had the answer t≤−8" is false. The correct answer is t ≤ 8, not t ≤ -8.

Overall, Izzie made one mistake in solving this inequality.