Question

The solution set of the inequality logo (3? -16) slog (4x--11) 1) (3.5) 2) (4.5) 3) (6.5) 4) None of these​

Answer 1

Answer:

None of these

Step-by-step explanation:

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Answer 2

Answer:

Correct option is

B

(4,5]

log10(x2−16)≤log10(4x−11)

For above expression to be defined,we must have,

{x2−16>04x−11>0

⇒⎩⎪⎨⎪⎧(x−4)(x+4)>0x>411

⇒⎩⎪⎨⎪⎧x<−4 or x>4x>411

So, taking common of both sets,

⇒x∈(4,∞)        ...(1)

Now

log10(x2−16)≤log10(4x−11)⇒x2−16≤4x−11⇒x2−4x−5≤0⇒x2−5x+x−5≤0→(x−5)(x+1)≤0