SOLUTION: Provide answers in interval notation .
s^2 - 2s - 35 < 0
Algebra.Com
Question 363215: Provide answers in interval notation .
s^2 - 2s - 35 < 0
Found 2 solutions by Fombitz, stanbon:
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Break up the number line into 3 regions using the critical points of the function.
Region 1:(,)
Region 2:(,)
Region 3:(,)
.
.
.
For each region, choose a point in the region (not an endpoint).
Test the inequality.
If the inequality is satisfied, the region is part of the solution region.
.
.
Region 1:
False, Region 1 is not part of the solution region.
.
.
Region 2:
True, Region 2 is part of the solution region.
.
.
Region 3:
False, Region 3 is not part of the solution region.
.
.
Solution Region:(,)
.
.
.
Graphical verification: Look for regions where the function is above the x-axis ()
.
.
.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Provide answers in interval notation .
s^2 - 2s - 35 < 0
----
Find the boundary value for "s":
---
s^2 - 2s - 35 = 0
(x-7)(x+5) = 0
x = -5 or x = 7
----------------------
Plot x=-5 and x=7 on a number line.
---
Check a value from each of the resulting intervals
in the INEQUALITY:
(x-7)(x+5) < 0
---
Let x = -10 to get: -*- < 0 ; false
Let x = 0 to get: -*+ < 0 ; true, so solutions in (-5,7)
Let x = 10 to get: +*+ < 0 ; false
--------------
Solution interval: (-5,7)
================
Cheers,
Stan H.
RELATED QUESTIONS
Please provide in interval notation:... (answered by tommyt3rd)
solve... (answered by richard1234)
f(x) = x^3 − 2x^2 − 4x + 8 / x − 2
Find any hole(s) in the graph of f.
(answered by greenestamps)
Use the given information to evaluate each expression. (Enter your answers in exact... (answered by lwsshak3)
0.8(2s+3)=-0.6(5s-2)-s (answered by MathLover1)
Couls someone help please?
Solve the following inequalitites. Write the answers in... (answered by jai_kos)
Use the graph to solve the inequality indicated. write the answers in interval notation:... (answered by tommyt3rd)
Hi there, I'm not sure how to put the answers to this in interval notation, help solving... (answered by Theo)
{{{5s-2s^2=0}}} (answered by chitra)