In the coordinate plane there is the area of the region shaded surrounded by 3 inequalities. Which of the following options can be these inequalities?

Answer Choices

Correct answer marked below

1), 3), 5)

Correct

1), 3), 4)

2), 3), 5)

2), 3), 4)

2), 4), 5)

See the full step-by-step explanation

You can see the correct answer above. Sign in for free to unlock the complete worked solution.

Track your performance and improve

Get detailed analytics, unlock full explanations, and move up difficulty tiers as you practice.

Start for free Sign in

Explanation

Preview

Official Explanation

Official

In very simple terms, you should note that the area is surrounded by three straight lines.

So if you substitute the inequality sign (< and >) with equality sign (=) in all 5 options, you should be able to get equation of these lines.

The next thing you can say that the two lines apart from y axis are having negative slope, because y and x have opposite effects, one increases the other decreases. So the options that have negative coefficient of

x

while positive of

y

can be the equation of line.…

Read the full explanation

Create free account Sign in

Comments

No comments yet

Be the first to share your thoughts and help others understand it better.

What this question tests

What it tests

Your ability to evaluate and compose functions, including unusual defined operations.

Common trap

Applying function operations in the wrong order or ignoring domain restrictions.