Solving Inequalities with Integers

AI Thread Summary
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
Messages
34
Reaction score
0

Homework Statement



For what integer value of X is 3x+5> 11 and x-3 <1?
 
Physics news on Phys.org
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
 

Thread 'Struggling to understand the concept of this question (ice cube in water optics question)'

TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
View full post »
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
View full post »

Similar threads

Find integer points on this equation
Replies
8
Views
1K
Energy of particle in simple harmonic motion
Replies
13
Views
1K
How many men, women, and children are there?
Replies
5
Views
2K
Divisibility of Integers ## 176521221 ## & ## 149235678 ## by 9 & 11
Replies
9
Views
2K
Determine whether the integer 701 is prime by testing?
Replies
1
Views
2K
I Union of Prime Numbers & Non-Powers of Integers: Usage & Contexts
Replies
1
Views
2K
Prove: If the integer ## a ## is not divisible by ## 2 ## or ## 3 ##....
Replies
9
Views
2K
Determine whether the integer ## 1010908899 ## is divisible by....
Replies
6
Views
1K
Each integer n>11 can be written as the sum of two composite numbers?
Replies
7
Views
4K
Finding Integer with Chinese Remainder Theorem
Replies
3
Views
2K

Hot Threads

Recent Insights

Back
Top