Suppose a classmate is having difficulty solving 4(x - 7) > 6x + 2 + 8x . Explain how to slove the inequality, showing all the necessary steps and identifying the properties you would use.
4(x - 7) > 6x + 2 + 8x
4x - 28 > 14x + 2 subtract 4x from both sides
- 28 > 10x + 2 subtract 2 from both sides
- 30 > 10x divide both sides by 10
- 3 > x Reverse the inequality
x < - 3
Suppose a classmate is having difficulty solving 4(x - 7) > 6x + 2 + 8x . Explain how to slove the inequality, showing all the necessary steps and identifying the properties you would use.
Mmm you can work out what the names of the properties are.
4(x - 7) > 6x + 2 + 8x
4x - 28 > 6x + 2 + 8x
4x - 28 > 14x + 2
4x - 28-14x > 14x + 2 -14x
-10x - 28 > 2
-10x - 28+28 > 2 +28
-10x > 30
-x > 3
x< -3