Răspuns:
11
Explicație pas cu pas:
[tex] |x| \geqslant 0 \implies - x \geqslant 0 \iff x \leqslant 0[/tex]
[tex]|x + 3| < 5 \\ - 5 < x + 3 < 5 \: \: \: | (- 3) \\ \implies - 8 < x < 3[/tex]
A = {-7; -6; -5; -4; -3; -2; -1; 0}
=> card(A) = 8
[tex]|x| \geqslant 0 \implies x \geqslant 0[/tex]
[tex]-5 < 2x - 1 < 5 \: \: \: | (+ 1) \\ - 4 < 2x < 6 \: \: \: |(: 2) \\ \implies - 2 < x < 3[/tex]
B = {0; 1; 2}
=> card(B) = 3
atunci:
[tex]card(A) + card(B) = 8 + 3 = \bf 11[/tex]
