Question

Solve 1.5 < y+1
. Write your solution in set-builder notation.

Answer 1

To solve the inequality (1.5 < y + 1), you can start by subtracting 1 from both sides of the inequality:

[1.5 - 1 < y]

Simplifying:

[0.5 < y.]

Now, expressing this in set-builder notation:

[ { y \mid y > 0.5 } ]

So, the solution in set-builder notation is the set of all (y) such that (y) is greater than 0.5.