Indian Institute of Foreign Trade 2016 Solved Paper

Question : 1 of 123

Marks: +1, -0

The smallest integer

x

for which the inequality

{ x - 7 } /{ x ^ { 2 } + 5 x - 36 } > 0

is given by

Solution:

(d) Here,

{ x - 7 }/ { x ^ { 2 } + 5 x - 36 } > 0

{ x - 7 }/ { ( x + 9 ) ( x - 4 ) } > 0

The solution set is

x ∈ ( - 9,4 )∪ ( 7 ,∞ )

So, the least integral value of

x

- 8

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