Bantu jawab yah soalnya
Jawaban:
3x + 2| ≤ 5
–5 ≤ 3x + 2 ≤ 5
==> sama-sama dikurangi 2 <==
–5 – 2 ≤ 3x + 2 – 2 ≤ 5 – 2
–7 ≤ 3x ≤ 3
==> sama-sama dibagi 3 <==
-frac{7}{3}−
3
7
≤ x ≤ 1
HP = {x | -frac{7}{3}−
3
7
≤ x ≤ 1, x ∈ R}
d) 2 < |2 – frac{x}{2}
2
x
| ≤ 5
|2 – frac{x}{2}
2
x
| > 2 dan |2 – frac{x}{2}
2
x
| ≤ 5
Untuk |2 – frac{x}{2}
2
x
| > 2
|2 – frac{x}{2}
2
x
| > 2
2 – frac{x}{2}
2
x
< –2 atau 2 – frac{x}{2}
2
x
> 2
-frac{x}{2}−
2
x
< –2 – 2 atau -frac{x}{2}−
2
x
> 2 – 2
-frac{x}{2}−
2
x
< –4 atau -frac{x}{2}−
2
x
> 0
–x < –8 atau –x > 0
x > 8 atau x < 0
Untuk |2 – frac{x}{2}
2
x
| ≤ 5
|2 – frac{x}{2}
2
x
| ≤ 5
–5 ≤ 2 – frac{x}{2}
2
x
≤ 5
==> sama-sama dikurangi 2 <==
–5 – 2 ≤ 2 – frac{x}{2}
2
x
– 2 ≤ 5 – 2
–7 ≤ -frac{x}{2}−
2
x
≤ 3
==> sama-sama dikali –1 <==
7 ≤ frac{x}{2}
2
x
≤ –3
–3 ≤ frac{x}{2}
2
x
≤ 7
==> sama-sama dikali 2 <==
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