Q. 85.0( 1 Vote )

Write the set of values of x satisfying the inequations 5x + 2 < 3x + 8 and .

Answer :

Part I : 5x + 2 < 3x + 8

2x < 6


x < 3


Part II :





Case I : -3x + 6 < 0 and x – 1 > 0


x > 2 and x > 1


By taking intersection x (2, ∞)


Case II : -3x + 6 > 0 and x – 1 < 0


x < 2 and x < 1


By takin intersection x (-∞, 1)


Taking union of case I and case II, x (-∞, 1) (2, ∞)


We have to take intersection of part I and part II, we have


final answer i.e., x (-∞, 1) (2, 3)


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