Answer:
To determine which statement is true based on the given inequalities, let's analyze each inequality separately and then compare the results.
Given inequalities:
1. 5(4 - x) < y + 12
2. y + 12 < 3x + 1
Let's start with the first inequality:
1. 5(4 - x) < y + 12
We can simplify it by distributing the 5 on the left side:
20 - 5x < y + 12
Next, let's consider the second inequality:
2. y + 12 < 3x + 1
We can rearrange it to isolate y:
y < 3x + 1 - 12
y < 3x - 11
Now, let's compare the two results:
20 - 5x < y + 12
y < 3x - 11
From these inequalities, we can see that the second statement, "y < 3x - 11," is true.
To summarize, based on the given inequalities, the statement "y < 3x - 11" is true.
Explanation: