IPMAT/Algebra•1yr
mercapto

Graphs

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Comments (10)

B
basicallybhavesh
IIM Ranchi (IR 2)
MOD•1yr

How to ask good doubts?

Point out the exact step you're stuck on and let us know what you've already tried. This helps others understand your thinking and guide you better.

4
M
mercapto
OP•1yr

Okokok My fault! Here in this question we know it's a triangle and thus we have 3 closed lines.where do we get the inequality from. What does an equation with x,y represent on a graph paper(graphically). That would be your first step,now what's the second?

1
M
meow_woof
•1yr

Consider Each of the inequalities as constraints. Any points that is on or inside the triangle will fulfill ALL the constraint (options are using the "AND" operator which means all constraint should be true to satisfy). Option A) says 14x+5y more than equal to 70. Conveniently for us, the graph provides us with three points to check for the constraints. One of the point is (19,14) which means x= 19 and y=14. Does that satisfy 14x+5y more than equal to 70? Put the values and you should come to the conclusion that indeed it does. Option C) and option D) also has this constraint so they can potentially be the answer too. But B) has the constraint 14x+5y is less than equal to 70, which (19,14) does not satisfy. Which means that option B) doesn't represent the triangle in question. Now moving on to the second constraint. y is less than equal to 14. There is a point (5,0) which is possible if y is less than equal to 14. Option D) also has the same constraint, but option C) has the constraint y is more than equal to 14, which isn't true for (5,0) so C) is eliminated from potential solution. The last constraint as per option A is x-y more than equal to 5. Check this for (0,14) and you'd conclude that it doesn't satisfy the constraint which means A) isn't the correct answer. D) has a different constraint x-y is less than equal to 5. And indeed for all points you can check that to be true. D) is the correct answer.

2
M
mercapto
OP•1yr

GREATTTTT

THANK-YOU!! Option -D is correct

1
G
gymrat
•1yr

option A??

1
M
meow_woof
•1yr
Correct

Shouldn't it be d)? For point (0,14) x= 0 and y= 14, x-y = -14 which is less than 5 so x-y less than equal to 5 which is only true for d.

2
P
prankymish
•1yr

YES YOU ARE RIGHT THE ANSWER FOR THIS QUESTION IS D

1
M
mercapto
OP•1yr

Yep!

It's D

1
H
hehehehehe
•1yr

it's b.

-4
M
meow_woof
•1yr

As Per b) 14x+5y would be less than or equal to 70. Point (19,14) lies on the triangle and it does not satisfy this constraint.

d) satisfies all the conditions.

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