You are Here: Home >< Maths

# quick fp2 inequalities question Watch

1. https://8dedc505ac3fba908c50836f5905...%20Edexcel.pdf

for q3 part b, how would I solve this?

I worked out the eq (x+5)(x+2) > 0 but is this wrong?

I'm confused as to what they expect me to do to solve it
2. Whenever you have inequalities questions with this one mark 'hence or otherwise' bit, I always find it best to do it graphically.

The inequality is saying: "when is the line x+4 greater than the reciprocal graph 2/|X+3|"

Note that the reciprocal graph is always positive (above the X-axis).

Sketching the graphs leads to X>-2.
3. (Original post by Katiee224)
https://8dedc505ac3fba908c50836f5905...%20Edexcel.pdf

for q3 part b, how would I solve this?

I worked out the eq (x+5)(x+2) > 0 but is this wrong?

I'm confused as to what they expect me to do to solve it
I'm not sure a sketch would be sufficient for this (as in I don't know).

We can note that |x+3| = x+3 if x >-3. So any solution to part a, is also a solution to part b, as long as x > -3.

Now suppose x < -3
Then part b becomes x+4 > -2/(x+3)
Whence (x+4)(x+3) < -2
Sign reverses as x+3 < 0
Then x^2+7x + 14 < 0
which has no solution.

Hence the only solutions are the overlap of the solutions to part a with x>-3, which gives x>-2.

TSR Support Team

We have a brilliant team of more than 60 Support Team members looking after discussions on The Student Room, helping to make it a fun, safe and useful place to hang out.

This forum is supported by:
Updated: May 10, 2016
Today on TSR

### Should I ask for his number?

Discussions on TSR

• Latest
• ## See more of what you like on The Student Room

You can personalise what you see on TSR. Tell us a little about yourself to get started.

• Poll
Useful resources

### Maths Forum posting guidelines

Not sure where to post? Read the updated guidelines here

### How to use LaTex

Writing equations the easy way

### Study habits of A* students

Top tips from students who have already aced their exams

## Groups associated with this forum:

View associated groups
Discussions on TSR

• Latest
• ## See more of what you like on The Student Room

You can personalise what you see on TSR. Tell us a little about yourself to get started.

• The Student Room, Get Revising and Marked by Teachers are trading names of The Student Room Group Ltd.

Register Number: 04666380 (England and Wales), VAT No. 806 8067 22 Registered Office: International House, Queens Road, Brighton, BN1 3XE