Rozwiąż równania i nierówności
a) I x+5 I=8
B) I x+2 I<7
c)2(x-4)-5(n-3x)=x+1
x+5=8 ∨ x+5=-8
x=3 ∨ x=-13
b) I x+2 I<7
x+2<3 ∧ x+2>-7
x<1 ∧ x>-9
x ∈ (-9;1)
c) równanie jest źle przepisane
a)
Ix+5I = 8
x+5 >= 0
x+5 = 8
x = 8-5
x = 3
x+5 < 0
-x-5 = 8
-x = 8+5
x = -13
x = -13 v x = 3
b)
Ix+2I < 7
x+2 >= 0
x+2 < 7
x < 7-2
x < 5
x+2 < 0
-x-2 < 7
-x < 7+2
x > -9
x e (-9; 5)
c) ?
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a) I x+5 I=8
x+5=8 ∨ x+5=-8
x=3 ∨ x=-13
b) I x+2 I<7
x+2<3 ∧ x+2>-7
x<1 ∧ x>-9
x ∈ (-9;1)
c) równanie jest źle przepisane
a)
Ix+5I = 8
x+5 >= 0
x+5 = 8
x = 8-5
x = 3
x+5 < 0
-x-5 = 8
-x = 8+5
x = -13
x = -13 v x = 3
b)
Ix+2I < 7
x+2 >= 0
x+2 < 7
x < 7-2
x < 5
x+2 < 0
-x-2 < 7
-x < 7+2
x > -9
x e (-9; 5)
c) ?