8x – 7 > 6x + 12

Do not be daunted by the greater than sign. Just think of it like an equals sign.

Remember, the key is to get the 'x' on its own.

Collect the like terms as you normally would. As per convention, start with the 'x' terms. As they are both positive, take away the lower number from both sides.

8x – 7 > 6x + 12
8x – 6x – 7 > 6x – 6x + 12
2x – 7 > 12

Now, do the same with the numbers. As one number is negative, add this to both sides to cancel it out.
2x – 7 > 12
2x – 7 + 7 > 12 + 7
2x > 19

Now that you have all the x terms on one side and the number terms on the other side, you can sort this out.
Remember the 2x just means 2 multiplied by x. Thus, all you need to do is divide both sides by 2.

2x > 19
2 multiplied by x divided by 2 > 19 divided by 2
x > 19/2
x > 9.5

Answered by Ashley H. Maths tutor

5978 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

How do you find the HCF of 110 and 132


Q: How to solve the simultaneous equations 3x+2y=7 and 5x+y=14


c) Sharon is organising an event. The tickets cost 12 pounds each. Sharon paid 200 pounds for the cost of the event. How many tickets will Sharon have to sell to make a profit? (2 marks)


What are the trigonometric functions?


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo
Cookie Preferences