Solve the following inequality: 6x -3 > 3x + 9
First, we start by moving the x's all over to one side. These are our undefined variable and it is important to keep them together. To do this, we take away 3x from either side and we get:
3x - 3 > 9
Now, we must modify the inequality so that we only have x's on one side of the equation. The simplest way to do this is adding 3 to either side, cancelling out the minus 3 on the left. This gives us:
3x > 12
Finally, to obtain an equation with only one x, we must divide both sides by 4. This gives us:
x > 4
This solves our ineqaulity.
CB
Related Maths GCSE answers
All answers ▸Show that 12 cos 30° - 2 tan 60° can be written in the form root (k) where k is an integer.
Solve this equation: 5x-4=3x+7
A bag contains only apple and oranges. The probability an apple is picked randomly is 1 in 5. The apple is returned, and five more apples are added to the bag. The probability of an apple being picked is now 1in 3. How many apples were there originally?
Anne picks a 4-digit number. The first digit is not zero. The 4-digit number is a multiple of 5. How many different 4-digit numbers could she pick?