Answer: a) -1, 0, 1, 2 b) 14, 15, 16
a)
We want to find the value of "b" that makes the inequality 28 < 18 - 5b true.
We'll start by adding 5b to both sides to isolate "b".
Then, we'll simplify the equation to get 5b < -10.
Dividing both sides by 5 (and flipping the inequality because we're dividing by a negative number) gives b > -2.
So, b > -2, which means any value of "b" that is greater than -2 will make the inequality true.
b)
we want to isolate the variable "y" on one side of the inequality.
First, we'll simplify the left-hand side by dividing both sides by -3:
y/17 < 1
Next, we'll multiply both sides by 17 to isolate "y":
y < 17
So, y < 17. This means that any value of "y" less than 17 will make the inequality true.