To solve the inequality, let's simplify it step by step:
3(t + 1) - 4t ≥ -5
Starting with the distributive property:
3t + 3 - 4t ≥ -5
Combining like terms:
-t + 3 ≥ -5
Next, we want to isolate the variable "t" by getting rid of the constant term on the left side. We can do this by subtracting 3 from both sides of the inequality:
-t + 3 - 3 ≥ -5 - 3
Simplifying further:
-t ≥ -8
Now, we need to isolate the variable "t" by multiplying both sides of the inequality by -1. However, while doing so, we must reverse the direction of inequality because we're multiplying by a negative number:
(-t)(-1) ≤ (-8)(-1)
Simplifying further:
t ≤ 8
After solving the inequality, we find that the correct solution is t ≤ 8.
Therefore, you should check if Izzie's solution matches this answer.
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.
1 answer