Hi I need help!!
Solve the inequality and describe the solution set.
y-6>12
make sure to add the solution set
y - 6 > 12
add 6 to both sides
y - 6 + 6 > 12 + 6
y > 18
just add 6 to both sides of the inequality
Could you explain that to me please i seriously don't get it and i am not lying
To solve the inequality y - 6 > 12 and describe the solution set, follow these steps:
Step 1: Add 6 to both sides of the inequality to isolate the variable y:
(y - 6) + 6 > 12 + 6
Simplifying, we get:
y > 18
Step 2: Now we have the inequality y > 18, which means y is greater than 18. To describe the solution set, we can write it in interval notation or set-builder notation.
In interval notation, the solution set can be written as:
(18, ∞)
This represents all the values of y that are greater than 18.
In set-builder notation, the solution set can be written as:
{ y | y > 18 }
This also represents all the values of y that are greater than 18.
So, the solution set for the inequality y - 6 > 12 is (18, ∞) or { y | y > 18 }.