ShikaMekiFuka
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It says find the greatest and the lowest integer values of n for which these inequalities are true

4≤3n-2<10 next question is 1<4n+5<20

I am really good at inequalities but this question got me confused do I have to replace the n or do I have to solve this inequalities first. It is really annoying and thank you
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NotNotBatman
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(Original post by ShikaMekiFuka)
It says find the greatest and the lowest integer values of n for which these inequalities are true

4≤3n-2<10 next question is 1<4n+5<20

I am really good at inequalities but this question got me confused do I have to replace the n or do I have to solve this inequalities first. It is really annoying and thank you
Split the inequalities and solve.
 4 \leq 3n-2
3n-3 <10,
1<4n+5
and
 4n+5&lt;20

and find the set of numbers that satisfy all inequalities.
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ShikaMekiFuka
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(Original post by NotNotBatman)
Split the inequalities and solve.
 4 \leq 3n-2
3n-3 <10,
1<4n+5
and
 4n+5&lt;20

and find the set of numbers that satisfy all inequalities.
Thank you so much ! I have finally got it!!!!!
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B_9710
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It may be useful to get the inequality in the form a<n<b. If you take 5 from very term you get  -4&lt;4n&lt;15 . Dividing every term by 4 yields  -1&lt;n&lt;15/4 .
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