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# Inequalities help? watch

1. Find the set of values of x which satisfy both of the following inequalities:

3x-2<x+3

x^2 + 3x > 10

For the first inequality I got x<5/2
For the second inequality i got -5>x and 2<x

I then put the answer as 2<x<5/2

but this was marked incorrectly? Can someone give me the correct answer and why please?
2. (Original post by Hellospaceboyy)
Find the set of values of x which satisfy both of the following inequalities:

3x-2<x+3

x^2 + 3x > 10

For the first inequality I got x<5/2
For the second inequality i got -5>x and 2<x

I then put the answer as 2<x<5/2

but this was marked incorrectly? Can someone give me the correct answer and why please?

That is part of the answer

Why have you ignored x<-5
3. (Original post by TenOfThem)
That is part of the answer

Why have you ignored x<-5
so would it be 2<x<-5 ??
4. (Original post by Hellospaceboyy)
so would it be 2<x<-5 ??
No that makes no sense

You have the 2<x<2.5 but also you can have x<-5
5. (Original post by TenOfThem)
No that makes no sense

You have the 2<x<2.5 but also you can have x<-5
Ah okay thank you! I thought it had to be a single inequality
6. The best way to do these sorts of questions is to DRAW A GRAPH. Then you can see if the inequalities will be together or apart.

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