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# Maths inequalities question!

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1. 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
2. (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.

3n-3 <10,
1<4n+5
and

and find the set of numbers that satisfy all inequalities.
3. (Original post by NotNotBatman)
Split the inequalities and solve.

3n-3 <10,
1<4n+5
and

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

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