Is (3/4)*(a^2/c) less than a with multiple inequalities?

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The discussion revolves around the inequalities involving two variables, x and y, and two positive constants, a and c. The main question is whether the expression (3/4)*(a^2/c) is less than a, given the inequalities x + 2y ≤ (3/4)*(a^2/c) and x + 2y < a. Participants highlight the need for a complete problem statement to clarify the relationships between the variables and constants. The conversation also touches on the implications of inequalities, questioning if certain conditions lead to contradictory results. Overall, the discussion emphasizes the importance of clear definitions and logical reasoning in solving inequalities.
monsmatglad
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Homework Statement


I for some reason can't seem do become sure of this.
There are 2 variables x and y. And two constants, a and c, which are both positive.

Homework Equations


x+2y ≤ (3/4)*(a^2/c)
x + 2y < a

The Attempt at a Solution


Does this mean that: (3/4)*(a^2/c) < a ?

Mons
 
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monsmatglad said:

Homework Statement


I for some reason can't seem do become sure of this.
There are 2 variables x and y. And two constants, a and c, which are both positive.

Homework Equations


x+2y ≤ (3/4)*(a^2/c)
x + 2y < a

The Attempt at a Solution


Does this mean that: (3/4)*(a^2/c) < a ?

Mons
Please give a complete statement of the problem which you're trying to solve.
 
monsmatglad said:

Homework Statement


I for some reason can't seem do become sure of this.
There are 2 variables x and y. And two constants, a and c, which are both positive.

Homework Equations


x+2y ≤ (3/4)*(a^2/c)
x + 2y < a

The Attempt at a Solution


Does this mean that: (3/4)*(a^2/c) < a ?

Mons
Do the inequalities ##A \leq 200## and ##A < 100## imply ##200 < 100?##
 
@monsmatglad, please check your Inbox. I explained why the inequality isn't necessarily true, based on the info you provided in your earlier thread.
 

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