Help me with this please
1 answer:
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Answer:
The correct answer is A.
Step-by-step explanation:
Method 1
You just have to plot each point on the graph.
The one that falls within the solution region is the correct choice.
From the graph, falls within the solution region.
See graph
Method 2
If you substitute the points into the inequalities, the only point that will satisfy both inequalities simultaneously is A.
The first inequality is
If we substitute , we get;
This statement is true.
The second inequality is
If we substitute , we get;
This gives,
This statement is also true.
Use y = mx + b to determine the equation of the graph, then decided the inequality symbol.
m = +5/+6 = b = 5
y = x + 5
6y = 5x + 30
-30 = 5x - 6y ⇒ 5x - 6y = -30
Now let's look at the inequality symbol: The shaded area is below so it will be a less than symbol and it is a solid line so the equal sign is included.
Answer: 5x - 6y ≤ -30