Write an inequality for the graph. a. y≤ |x – 5| + 5 b. y≤ |x + 5| + 5 c. y≤ |x – 5| – 5 d. y≥ |x – 5| + 5

First of all, the shaded part is under the line, so it is a smaller than, so we can eliminate D
next, look at the vertex, it is at (5,5), which means when x=5, whatever is inside the absolute symbol has a value of zero, and y will be 5
so the answer is A

5n-10 < 6n-8

n - is the variable that's stands for the unspecified number

step 1. ten is less than 5 times a number

step 2. LESS THAN SIGN :)

step 3. six times the number decreased by 8

*tip: sometimes it helps to break the problem into parts and reading it backwards*

I hope this helps. :)