SOLUTION: SOlve the following inequality x+17/x-1 less than or equal to 1 with steps please
Algebra.Com
Question 600335: SOlve the following inequality x+17/x-1 less than or equal to 1 with steps please
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
SOlve the following inequality x+17/x-1 less than or equal to 1 with steps please
----
1st: Solve the EQUALITY:
(x+17)/(x-1) = 1
---
x+17 = x-1
17 = -1
No solution for the equality.
---
2nd: Solve the INEQUALITY:
(x+17)/(x-1) < 1
-----
Draw a number line and put a point at x = 1
---
If x < 1 you get ?
Test x = 0; You get 17/-1 < 1, which is true.
So solutions where x < 1.
----
If x > 1 you get ?
Test x = 2; You get 19/1 < 1, which is false.
So no solutions where x > 1.
----
Final Answer: x < 1
========================
Cheers,
Stan H.
RELATED QUESTIONS
Solve the following inequality:
9 less than or equal to 7-x less than or equal to... (answered by fractalier)
Solve the following Compound Linear Inequality
-7 greater than x minus 4 is less than... (answered by josgarithmetic)
Solve the following inequality using interval notation:
1/x+3 + 1/x >_ 0
>_ =... (answered by Boreal)
Could someone please help me and show me the steps to solve:
-1<4+5x less than or equal... (answered by josgarithmetic)
solve the inequality, 1/x (less than or equal to) 5 (answered by josmiceli)
Solve the following inequality: |x+1|>= x-3. (The absolute value of X+1 is greater than... (answered by josgarithmetic)
Solve the following inequality: -5(3-x)less than or equal to -9x... (answered by checkley79)
Could you please help me with this inequality? ( ">=" is supposed to be greater than or... (answered by oscargut)
Solve the following inequality using interval notation
1/x+3 + 1/x is greater than or (answered by Boreal,stanbon)