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Maths inequalities question!

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
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≤3n−2 4 \leq 3n-2
3n-3 <10,
1<4n+5
and
4n+5<20 4n+5<20

and find the set of numbers that satisfy all inequalities.
Original post by NotNotBatman
Split the inequalities and solve.
4≤3n−2 4 \leq 3n-2
3n-3 <10,
1<4n+5
and
4n+5<20 4n+5<20

and find the set of numbers that satisfy all inequalities.


Thank you so much ! I have finally got it!!!!!
Reply 3
Avatar for B_9710
B_9710
18
It may be useful to get the inequality in the form a<n<b. If you take 5 from very term you get −4<4n<15 -4<4n<15 . Dividing every term by 4 yields −1<n<15/4 -1<n<15/4 .

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