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Lecture notes proof verification - Intermediate Value Theorem
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In the model proof below for the Intermediate Value Theorem it is written that $L_p={yin[a,b]quadtext{such that}quad f(y)lt{q}}$. Then $cin{L_q}$ but $dnotin{L_q}$. Shouldn't it be that $ain{L_q}$ but $bnotin{L_q}$ because $L_qsubseteq{[a,b]}$ and not $L_qsubseteq{[c,d]}$? I keep picking up on parts of my lecture notes that seem wrong to me.
proof-verification
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In the model proof below for the Intermediate Value Theorem it is written that $L_p={yin[a,b]quadtext{such that}quad f(y)lt{q}}$. Then $cin{L_q}$ but $dnotin{L_q}$. Shouldn't it be that $ain{L_q}$ but $bnotin{L_q}$ because $L_qsubseteq{[a,b]}$ and not $L_qsubseteq{[c,d]}$? I keep picking up on parts of my lecture notes that seem wrong to me.
proof-verification
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$begingroup$
In the model proof below for the Intermediate Value Theorem it is written that $L_p={yin[a,b]quadtext{such that}quad f(y)lt{q}}$. Then $cin{L_q}$ but $dnotin{L_q}$. Shouldn't it be that $ain{L_q}$ but $bnotin{L_q}$ because $L_qsubseteq{[a,b]}$ and not $L_qsubseteq{[c,d]}$? I keep picking up on parts of my lecture notes that seem wrong to me.
proof-verification
$endgroup$
In the model proof below for the Intermediate Value Theorem it is written that $L_p={yin[a,b]quadtext{such that}quad f(y)lt{q}}$. Then $cin{L_q}$ but $dnotin{L_q}$. Shouldn't it be that $ain{L_q}$ but $bnotin{L_q}$ because $L_qsubseteq{[a,b]}$ and not $L_qsubseteq{[c,d]}$? I keep picking up on parts of my lecture notes that seem wrong to me.
proof-verification
proof-verification
asked Jan 30 at 16:52
user503154
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Yes i mean this is probably a typo. $L_q$ is in the domain, but c and d are in the range. You are 100% correct.
answered Jan 30 at 17:08
Marat AlievMarat Aliev
1312
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$begingroup$
Yes i mean this is probably a typo. $L_q$ is in the domain, but c and d are in the range. You are 100% correct.
answered Jan 30 at 17:08
Marat AlievMarat Aliev
1312
$endgroup$
add a comment |
$begingroup$
Yes i mean this is probably a typo. $L_q$ is in the domain, but c and d are in the range. You are 100% correct.
answered Jan 30 at 17:08
Marat AlievMarat Aliev
1312
$endgroup$
add a comment |
$begingroup$
Yes i mean this is probably a typo. $L_q$ is in the domain, but c and d are in the range. You are 100% correct.
answered Jan 30 at 17:08
Marat AlievMarat Aliev
1312
$endgroup$
Yes i mean this is probably a typo. $L_q$ is in the domain, but c and d are in the range. You are 100% correct.
answered Jan 30 at 17:08
Marat AlievMarat Aliev
1312
answered Jan 30 at 17:08
Marat AlievMarat Aliev
1312
answered Jan 30 at 17:08
Marat AlievMarat Aliev
1312
answered Jan 30 at 17:08
Marat AlievMarat Aliev
1312
1312
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