Final answer:
To express the inequality -2x+20<2x+8 using interval notation, solve for x and then express the solution as an interval: (3, ∞).
Step-by-step explanation:
The given inequality is -2x+20<2x+8.
To express this inequality using interval notation, first solve for x:
-2x+20<2x+8
Subtract 2x from both sides:
-4x+20<8
Subtract 20 from both sides:
-4x<-12
Divide both sides by -4. Remember to reverse the inequality sign since you are dividing by a negative number:
x>3
Now express this solution as an interval:
(3, ∞)