Question

I hate doing these plz help

Answer 1

X + 8 > 13

(A number) plus eight must be greater than 13.
Hmm well we know that 5 plus 8 is 13.
So any value larger than 5 added to 8 will give us more than 13, yes?

If you look at the set that you're given,
the values which will make the inequality true are 5.5, 6 and 6.5.

5.5 + 8 = 13.5 (This is greater than 13)
6    + 8 = 14    (Still greater than 13)
6.5 + 8 = 14.5 (Yay)

The solution requires than you solve for x.
x has 8 being ADDED to it.
We can undo this by SUBTRACTING 8 from each side.

x > 13 - 8
x > 5

This is the solution.

For the last part, notice that the inequality is STRICT.
It is NOT a "greater than or equal to".

"or equal to" would mean we could include the value 5 in our solution set. But since the inequality is strict, it excludes the value 5.