Solving Inequalities with Integers

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To solve the inequalities 3x + 5 > 11 and x - 3 < 1, the first step involves isolating x in each equation. From the first inequality, x must be greater than 2, and from the second, x must be less than 4. This results in the solution range of 2 < x < 4. The discussion emphasizes understanding the properties of inequalities, particularly how to manipulate them correctly. Clarification on the lack of a specific formula for solving inequalities is also provided, highlighting the importance of understanding the concepts involved.
vaironl
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Homework Statement



For what integer value of X is 3x+5> 11 and x-3 <1?
 
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well this is a maths ques

but anyway

from eqns.

x > 2 and x <4

so x = ?
 
cupid.callin said:
well this is a maths ques

but anyway

from eqns.

x > 2 and x <4

so x = ?
Think you would be able to give me more solid details, i really never done this before or forgot. ( I'm paying the consequences ) So could i get the formula? or some examples,
Thanks
 
There's no formula

for eqn 1

take 5 to other side
3x > 11-5
3x > 6
x = 6/3
x > 2

can you do eqn 2 now?
 
i understand the take 5 and 3 to the other side but i just don't get much, Just forget it i know i will still be confuse and i will keep asking questions. Thanks for the help
 
do remember that > and < is nearly same as = but in =

if a=b ... b=a

but if a>b ,,, you can't just exchange alphabets ... b>a is wrong ...but its b<a

same with < sign

and ... a>b ... multiply -1 on both sides ... -a<-b

hope it hepls
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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