Question

inequalities: solve : 11<4x+1<21 x ∈ I in sets form



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Answer 1

given inequality : 11 < 4x + 1 < 21 and

x € I (integers)

11 < 4x + 1 4x + 1 < 21

=> 11 - 1 < 4x 4x < 21 - 1

=> 10 < 4x 4x < 20

=> 4x > 10 x < 20/4

=> x > 10/4 x < 5

=> x > 2.5

=> 2.5 < x

therefore 2.5 < x < 5

as x is an integer, x = { 3, 4 }