MHB Troubleshooting Inequality: Can't Seem to Solve the Last One

AI Thread Summary
The discussion focuses on solving an inequality involving a function f(x) and determining the correct intervals where f(x) is less than zero. The user is struggling to identify the last interval needed for the solution. It is clarified that the values -2 and 3 cannot be included in the solution since f(x) must be strictly less than zero. The correct intervals are identified as (-∞, -2) and (3, ∞). The conversation emphasizes the importance of understanding strict inequalities in interval notation.
ahbm
Messages
1
Reaction score
0
Trying to get the last one, but not able to do it. What am I missing. I know that I can't but [-2,infinity] or [3,infinity] because for -2, and 3 y=0 and is not > 0. Any help appreciated.
 

Attachments

  • Calculus.png
    Calculus.png
    14 KB · Views: 112
Mathematics news on Phys.org
Is g(-2) > 0? No, so that part of the interval will be [math]( -\infty, -2)[/math].

-Dan
 
Also, because the question requires that f(x) be strictly less than 0, f(x)< 0 you cannot include x= -2 or x= 3. f(x)< 0 is true for (-\infty, -2)\cup (3, \infty).
 

Thread 'Non-orthogonal bases'

Suppose ,instead of the usual x,y coordinate system with an I basis vector along the x -axis and a corresponding j basis vector along the y-axis we instead have a different pair of basis vectors ,call them e and f along their respective axes. I have seen that this is an important subject in maths My question is what physical applications does such a model apply to? I am asking here because I have devoted quite a lot of time in the past to understanding convectors and the dual...
View full post »

Thread 'Fermat's Last Theorem'

Fermat's Last Theorem has long been one of the most famous mathematical problems, and is now one of the most famous theorems. It simply states that the equation $$ a^n+b^n=c^n $$ has no solutions with positive integers if ##n>2.## It was named after Pierre de Fermat (1607-1665). The problem itself stems from the book Arithmetica by Diophantus of Alexandria. It gained popularity because Fermat noted in his copy "Cubum autem in duos cubos, aut quadratoquadratum in duos quadratoquadratos, et...
View full post »

Thread 'What Exactly is Dirac’s Delta Function? - Insight'

Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. In Dirac’s Principles of Quantum Mechanics published in 1930 he introduced a “convenient notation” he referred to as a “delta function” which he treated as a continuum analog to the discrete Kronecker delta. The Kronecker delta is simply the indexed components of the identity operator in matrix algebra Source: https://www.physicsforums.com/insights/what-exactly-is-diracs-delta-function/ by...
View full post »

Similar threads

MHB Can graph be used to solve inequalities without algebra?
Replies
2
Views
2K
MHB How do we solve a quadratic inequality with multiple factors?
Replies
3
Views
2K
MHB Is the solution to the quadratic inequality (-x + 6)/(x - 2) < 0?
Replies
5
Views
1K
MHB How do I solve a quadratic inequality using factoring?
Replies
7
Views
2K
I Understanding Cauchy-Schwarz Inequality
Replies
7
Views
2K
MHB Inequality with fractions solve 2/(x^2−1)≤1/(x+1)
Replies
9
Views
2K
MHB Evaluating Chosen Numbers in Quadratic Inequality
Replies
7
Views
2K
Mathematical inequality measures for the social sciences
Replies
12
Views
1K
I Solve Brainteaser: What's the Difference in Age Between Steve and Steveston?
Replies
20
Views
2K
MHB Solving system of linear inequalities
Replies
9
Views
3K

Hot Threads

Recent Insights

Back
Top