You are Here: Home >< Maths

Announcements
1. Use set notation to describe the set of values of x for which:
X^2-x-6>0. And 10-2x<5
(X+2)(x-3)>0
(X+2)(x-3)=0
X=-2 and x=3
X<3
X>-2

10-2x<5
-2x<5-10
X>-5/-2

2. (Original post by Musicanor)
Use set notation to describe the set of values of x for which:
X^2-x-6>0. And 10-2x<5
(X+2)(x-3)>0
(X+2)(x-3)=0
X=-2 and x=3
X<3
X>-2

10-2x<5
-2x<5-10
X>-5/-2

For questions like these, it's best to sketch a quick graph of what you've been given. You would first draw the graph of y=X^2-x-6. You have correctly calculated the critical values, being -2 and 3, so we know where this graph would cross the x axis. Now, we're looking for regions where the graph y=X^2-x-6 is greater than zero. From or sketch, we can see that this occurs when x>3 or x<-2. This is why it's best to draw a sketch, as it gives you a visual aid to help you with the question.I hope this helped
3. (Original post by HotDetermination)
For questions like these, it's best to sketch a quick graph of what you've been given. You would first draw the graph of y=X^2-x-6. You have correctly calculated the critical values, being -2 and 3, so we know where this graph would cross the x axis. Now, we're looking for regions where the graph y=X^2-x-6 is greater than zero. From or sketch, we can see that this occurs when x>3 or x<-2. This is why it's best to draw a sketch, as it gives you a visual aid to help you with the question.I hope this helped
X thanks

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: November 1, 2017
Today on TSR

And I hate it

### University open days

• Heriot-Watt University
School of Textiles and Design Undergraduate
Fri, 16 Nov '18
• University of Roehampton
Sat, 17 Nov '18
• Edge Hill University
Faculty of Health and Social Care Undergraduate
Sat, 17 Nov '18
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