Question

Va rog ajutati-ma rapid

Answer 1

a) 3 < 2*[2*(4x-3)+13]-27 < 115

3 < 2*[8x-6+13]-27 < 115

3 < 2*[8x+7]-27 < 115

3 < 16x+14-27 < 115

3 < 16x-13 < 115 /+13

16 < 16x < 128 /:16

1 < x < 8 => A={2,3,4,5,6,7}

13 < 2*[3*(2x-3)+17]-27 < 97

13 < 2*[6x-9+17]-27 < 97

13 < 2*[6x+8]-27 < 97

13 < 12x+16-27 < 97

13 < 12x-11 < 97 /+11

24 < 12x < 108 /:12

2 < x < 9 => B={3,4,5,6,7,8}

b) AUB={2,3,4,5,6,7,8}

A∩B={3,4,5,6,7}

A-B={2}