Q: solve using the addition principle
2x + 6 > x + 16
the solution set is {x|x > ?}
A: {x|x > 10}
To solve the inequality 2x + 6 > x + 16 using the addition principle, we want to isolate the variable x on one side of the inequality.
First, subtract x from both sides of the inequality to get rid of the x term on the right side:
2x - x + 6 > x - x + 16
This simplifies to:
x + 6 > 16
Next, subtract 6 from both sides of the inequality:
x + 6 - 6 > 16 - 6
This simplifies to:
x > 10
Therefore, the solution set is {x | x > 10}. This means that any value of x that is greater than 10 will satisfy the original inequality.