Answer:
AI-generated answer
To solve the inequality X + 2y > 8, we need to isolate either X or y. Let's isolate X:
X + 2y > 8
First, subtract 2y from both sides:
X + 2y - 2y > 8 - 2y
This simplifies to:
X > 8 - 2y
Now, we have isolated X. The inequality states that X is greater than 8 minus 2y. This means that any value of X that is greater than 8 - 2y will satisfy the inequality.
To understand this concept better, let's consider some examples:
Example 1:
If y = 2, then 2y = 2(2) = 4.
Substituting this value into the inequality, we have:
X > 8 - 4
Simplifying further:
X > 4
So, any value of X greater than 4 would satisfy the inequality when y = 2.
Example 2:
If y = 3, then 2y = 2(3) = 6.
Substituting this value into the inequality, we have:
X > 8 - 6
Simplifying further:
X > 2
So, any value of X greater than 2 would satisfy the inequality when y = 3.
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