SOLUTION: If {{{ ln(x^2) - 16 <= ln(4x - 11) }}} then which one of the following condition is true:: A. x lies in ] 4, 5] B. x lies in [ 4, 5] C. x lies in [-1, 5] D. x < -4 or x > 4 E

Algebra ->  Test -> SOLUTION: If {{{ ln(x^2) - 16 <= ln(4x - 11) }}} then which one of the following condition is true:: A. x lies in ] 4, 5] B. x lies in [ 4, 5] C. x lies in [-1, 5] D. x < -4 or x > 4 E      Log On


   

Question 1184311: If +ln%28x%5E2%29+-+16+%3C=+ln%284x+-+11%29+ then which one of the following condition is true::
A. x lies in ] 4, 5]
B. x lies in [ 4, 5]
C. x lies in [-1, 5]
D. x < -4 or x > 4
E. x < -1 or x > 5
Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!


Apparently you have posted the inequality incorrectly.

ln%28x%5E2%29-16

is always far less than

ln%284x-11%29

graph%28400%2C400%2C-2%2C10%2C-20%2C10%2Cln%28x%5E2%29-16%2Cln%284x-11%29%29

----------------------------------------------------

Comment to the student, who proclaims that I have not answered the problem in the correct way....

The graph shows that ln(4x-11) (green line) does not exist for x less than 11/4=2.75.

But the question was not where the function ln(4x-11) is defined.

The question was what is the solution set for the inequality; the graph shows that ln(x^2)-16 (red curve) is ALWAYS less than ln(4x-11), so the inequality is always true, which is what my answer said.