3.5: Muda Notation na Infinity

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Page ID: 164579

Victoria Dominguez, Cristian Martinez, & Sanaa Saykali
Citrus College via ASCCC Open Educational Resources Initiative

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Je, ni infinity? Infinity si idadi halisi. Infinity ni kubwa kuliko idadi yoyote ambayo inaweza kufikiria. Ni wazo la kuwa na mipaka isiyo na mipaka. Mstari ni mfano wa kutokuwa na mipaka. Kwa mfano mstari wa namba una mishale mwishoni ili kuwakilisha wazo hili la kuwa na mipaka. Ishara inayotumiwa kuwakilisha infinity ni$\infty$. Kwenye upande wa kushoto wa mstari wa namba ni$−\infty$ na upande wa kulia wa mstari wa nambari ni$\infty$ kuelezea tabia isiyo na mipaka ya mstari wa namba.

Muda Nukuu	Nambari ya mstari
a)$(12,\infty)$	$clipboard_e80433e1e62fd9286767d7fccd338cf9b.png$ Kielelezo Template:index
b)$[-5,\infty)$	$clipboard_eb315c734eff17646d4b6150afe365542.png$ Kielelezo Template:index
c)$(−\infty,4)$	$clipboard_e347ccb8b609ce4a6a16613afe5ef2c4b.png$ Kielelezo Template:index
d)$(−\infty,0]$	$clipboard_e960bf6751735e85b398571075c5f0bf9.png$ Kielelezo Template:index
e)$(−\infty,\infty)$	$clipboard_e65f0217f121cc70ff0562beb8ad1573f.png$ Kielelezo Template:index

Kumbuka: Kwa kuwa$\infty$ si idadi halisi, inahitajika kutumia mabano (,). $\infty$haiwezi kuingizwa katika kipindi.

Zoezi Template:index

Chora mstari wa nambari unaofanana na vipindi vifuatavyo.

$(−\infty,5)$
$[-5,\infty)$
$(−\infty,\infty)$
$(-3,\infty)$
$(−\infty,-2]$

Muda Nukuu	Nambari ya mstari
a)\((12,\infty)\)	$clipboard_e80433e1e62fd9286767d7fccd338cf9b.png$ Kielelezo Template:index
b)\([-5,\infty)\)	$clipboard_eb315c734eff17646d4b6150afe365542.png$ Kielelezo Template:index
c)\((−\infty,4)\)	$clipboard_e347ccb8b609ce4a6a16613afe5ef2c4b.png$ Kielelezo Template:index
d)\((−\infty,0]\)	$clipboard_e960bf6751735e85b398571075c5f0bf9.png$ Kielelezo Template:index
e)\((−\infty,\infty)\)	$clipboard_e65f0217f121cc70ff0562beb8ad1573f.png$ Kielelezo Template:index