Odpowiedź:
Szczegółowe wyjaśnienie:
a.
|x-6|+|4x-24|+|2x-12I=7
|x-6|+4|x-6|+2|x-6|=7
7|x-6|=7 /:7
|x-6|=1
x-6=1 v x-6=-1
x=7 x=5
b.
|3x-5|≤2
3x-5≤2 ∧ 3x-5≥-2
3x≤7 3x≥3
x≤[tex]\frac{7}{3}[/tex] x≥1
____________
_____|_______
-------------|---------|--------------------->
1 [tex]2\frac{1}{3}[/tex]
x∈<1, [tex]2\frac{1}{3}[/tex] >
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Odpowiedź:
Szczegółowe wyjaśnienie:
a.
|x-6|+|4x-24|+|2x-12I=7
|x-6|+4|x-6|+2|x-6|=7
7|x-6|=7 /:7
|x-6|=1
x-6=1 v x-6=-1
x=7 x=5
b.
|3x-5|≤2
3x-5≤2 ∧ 3x-5≥-2
3x≤7 3x≥3
x≤[tex]\frac{7}{3}[/tex] x≥1
____________
_____|_______
-------------|---------|--------------------->
1 [tex]2\frac{1}{3}[/tex]
x∈<1, [tex]2\frac{1}{3}[/tex] >