Solution set of (x+2)(x-7)< 0 is
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Step-by-step explanation:
Solution set of the inequality log_7((x-2)/(x-3))<0 isCorrect option is
C
(−∞,1)
49
x
+7
x+1
−98<0
7
2x
+7.7
x
−98<0
7
2x
+14.7
x
−7.7
x
−98<0
(7
x
+14)(7
x
−7)<0
⇒7
x
<7 and 7
x
<−14
But 7
x
is always positive
so 7
x
<7
xlog7<log7
i.e, x<1
x∈(−∞,1)
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