Solve inequality of fraction in terms of denominator variable
$begingroup$
I have such inequality:
$$-0.1b le frac{y}{x} le 0.1b$$
How to solve it in terms of x to have something like this:
$$ ? le x le ? $$
Thanks for any help.
inequality ratio
asked Dec 16 '18 at 11:25
OlegOleg
1023
$endgroup$
add a comment |
$begingroup$
I have such inequality:
$$-0.1b le frac{y}{x} le 0.1b$$
How to solve it in terms of x to have something like this:
$$ ? le x le ? $$
Thanks for any help.
inequality ratio
asked Dec 16 '18 at 11:25
OlegOleg
1023
$endgroup$
add a comment |
$begingroup$
I have such inequality:
$$-0.1b le frac{y}{x} le 0.1b$$
How to solve it in terms of x to have something like this:
$$ ? le x le ? $$
Thanks for any help.
inequality ratio
asked Dec 16 '18 at 11:25
OlegOleg
1023
$endgroup$
I have such inequality:
$$-0.1b le frac{y}{x} le 0.1b$$
How to solve it in terms of x to have something like this:
$$ ? le x le ? $$
Thanks for any help.
inequality ratio
inequality ratio
asked Dec 16 '18 at 11:25
OlegOleg
1023
asked Dec 16 '18 at 11:25
OlegOleg
1023
asked Dec 16 '18 at 11:25
OlegOleg
1023
asked Dec 16 '18 at 11:25
OlegOleg
1023
asked Dec 16 '18 at 11:25
OlegOleg
1023
1023
add a comment |
add a comment |
1 Answer
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$begingroup$
You'd take the reciprocal of each term in the inequality, then multiply each term by $y$.
Note, however, taking the reciprocal reverses the order of the inequality symbols. For example, notice:
$$1 < 2 < 3 ;;; Leftrightarrow ;;; 1 > frac{1}{2} > frac{1}{3}$$
answered Dec 16 '18 at 11:27
Eevee TrainerEevee Trainer
7,75121339
$endgroup$
$begingroup$
Thanks, can't say that I get it, maybe you can reference me what to read to improve my knowledges in it?
$endgroup$
– Oleg
Dec 16 '18 at 11:37
$begingroup$
I honestly wouldn't know myself; this is a fairly basic technique taught in your typical algebra class in elementary or middle school. So I guess some textbook of the sort, or perhaps some videos on Khan Academy might help? (Not sure if Khan Academy covers this particular topic but I'm pretty sure they have pretty much everything from the standard K-12 math curriculum on their site.)
$endgroup$
– Eevee Trainer
Dec 16 '18 at 11:39
$begingroup$
I got it, thanks.
$endgroup$
– Oleg
Dec 16 '18 at 12:05
add a comment |
Your Answer
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1 Answer
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active
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1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
$begingroup$
You'd take the reciprocal of each term in the inequality, then multiply each term by $y$.
Note, however, taking the reciprocal reverses the order of the inequality symbols. For example, notice:
$$1 < 2 < 3 ;;; Leftrightarrow ;;; 1 > frac{1}{2} > frac{1}{3}$$
answered Dec 16 '18 at 11:27
Eevee TrainerEevee Trainer
7,75121339
$endgroup$
$begingroup$
Thanks, can't say that I get it, maybe you can reference me what to read to improve my knowledges in it?
$endgroup$
– Oleg
Dec 16 '18 at 11:37
$begingroup$
I honestly wouldn't know myself; this is a fairly basic technique taught in your typical algebra class in elementary or middle school. So I guess some textbook of the sort, or perhaps some videos on Khan Academy might help? (Not sure if Khan Academy covers this particular topic but I'm pretty sure they have pretty much everything from the standard K-12 math curriculum on their site.)
$endgroup$
– Eevee Trainer
Dec 16 '18 at 11:39
$begingroup$
I got it, thanks.
$endgroup$
– Oleg
Dec 16 '18 at 12:05
add a comment |
$begingroup$
You'd take the reciprocal of each term in the inequality, then multiply each term by $y$.
Note, however, taking the reciprocal reverses the order of the inequality symbols. For example, notice:
$$1 < 2 < 3 ;;; Leftrightarrow ;;; 1 > frac{1}{2} > frac{1}{3}$$
answered Dec 16 '18 at 11:27
Eevee TrainerEevee Trainer
7,75121339
$endgroup$
$begingroup$
Thanks, can't say that I get it, maybe you can reference me what to read to improve my knowledges in it?
$endgroup$
– Oleg
Dec 16 '18 at 11:37
$begingroup$
I honestly wouldn't know myself; this is a fairly basic technique taught in your typical algebra class in elementary or middle school. So I guess some textbook of the sort, or perhaps some videos on Khan Academy might help? (Not sure if Khan Academy covers this particular topic but I'm pretty sure they have pretty much everything from the standard K-12 math curriculum on their site.)
$endgroup$
– Eevee Trainer
Dec 16 '18 at 11:39
$begingroup$
I got it, thanks.
$endgroup$
– Oleg
Dec 16 '18 at 12:05
add a comment |
$begingroup$
You'd take the reciprocal of each term in the inequality, then multiply each term by $y$.
Note, however, taking the reciprocal reverses the order of the inequality symbols. For example, notice:
$$1 < 2 < 3 ;;; Leftrightarrow ;;; 1 > frac{1}{2} > frac{1}{3}$$
answered Dec 16 '18 at 11:27
Eevee TrainerEevee Trainer
7,75121339
$endgroup$
You'd take the reciprocal of each term in the inequality, then multiply each term by $y$.
Note, however, taking the reciprocal reverses the order of the inequality symbols. For example, notice:
$$1 < 2 < 3 ;;; Leftrightarrow ;;; 1 > frac{1}{2} > frac{1}{3}$$
answered Dec 16 '18 at 11:27
Eevee TrainerEevee Trainer
7,75121339
answered Dec 16 '18 at 11:27
Eevee TrainerEevee Trainer
7,75121339
answered Dec 16 '18 at 11:27
Eevee TrainerEevee Trainer
7,75121339
answered Dec 16 '18 at 11:27
Eevee TrainerEevee Trainer
7,75121339
7,75121339
$begingroup$
Thanks, can't say that I get it, maybe you can reference me what to read to improve my knowledges in it?
$endgroup$
– Oleg
Dec 16 '18 at 11:37
$begingroup$
I honestly wouldn't know myself; this is a fairly basic technique taught in your typical algebra class in elementary or middle school. So I guess some textbook of the sort, or perhaps some videos on Khan Academy might help? (Not sure if Khan Academy covers this particular topic but I'm pretty sure they have pretty much everything from the standard K-12 math curriculum on their site.)
$endgroup$
– Eevee Trainer
Dec 16 '18 at 11:39
$begingroup$
I got it, thanks.
$endgroup$
– Oleg
Dec 16 '18 at 12:05
add a comment |
$begingroup$
Thanks, can't say that I get it, maybe you can reference me what to read to improve my knowledges in it?
$endgroup$
– Oleg
Dec 16 '18 at 11:37
$begingroup$
I honestly wouldn't know myself; this is a fairly basic technique taught in your typical algebra class in elementary or middle school. So I guess some textbook of the sort, or perhaps some videos on Khan Academy might help? (Not sure if Khan Academy covers this particular topic but I'm pretty sure they have pretty much everything from the standard K-12 math curriculum on their site.)
$endgroup$
– Eevee Trainer
Dec 16 '18 at 11:39
$begingroup$
I got it, thanks.
$endgroup$
– Oleg
Dec 16 '18 at 12:05
$begingroup$
Thanks, can't say that I get it, maybe you can reference me what to read to improve my knowledges in it?
$endgroup$
– Oleg
Dec 16 '18 at 11:37
$begingroup$
Thanks, can't say that I get it, maybe you can reference me what to read to improve my knowledges in it?
$endgroup$
– Oleg
Dec 16 '18 at 11:37
$begingroup$
I honestly wouldn't know myself; this is a fairly basic technique taught in your typical algebra class in elementary or middle school. So I guess some textbook of the sort, or perhaps some videos on Khan Academy might help? (Not sure if Khan Academy covers this particular topic but I'm pretty sure they have pretty much everything from the standard K-12 math curriculum on their site.)
$endgroup$
– Eevee Trainer
Dec 16 '18 at 11:39
$begingroup$
I honestly wouldn't know myself; this is a fairly basic technique taught in your typical algebra class in elementary or middle school. So I guess some textbook of the sort, or perhaps some videos on Khan Academy might help? (Not sure if Khan Academy covers this particular topic but I'm pretty sure they have pretty much everything from the standard K-12 math curriculum on their site.)
$endgroup$
– Eevee Trainer
Dec 16 '18 at 11:39
$begingroup$
I got it, thanks.
$endgroup$
– Oleg
Dec 16 '18 at 12:05
$begingroup$
I got it, thanks.
$endgroup$
– Oleg
Dec 16 '18 at 12:05
add a comment |
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