To find out whether n = 112 is a solution to the inequality, plug 112 for n into the inequality and simplify.
10 + n/28 > 14
10 + 112/28 > 14
10 + 4 > 14
14 > 14
This reads "fourteen is greater than fourteen," which is false.
n = 112 is NOT a solution to the inequality 10 + n/28 > 14.
I would think that all but one point would be on the line. One way to approach this problem is to find the equation of the line based upon any two points chosen at random, and then determine whether or not the other points satisfy this equation. Next time, would you please enclose the coordinates of each point inside parentheses: (2.5,14), (2.25,12), and so on, to avoid confusion.
14-12
slope of line thru 1st 2 points is m = ---------------- = 2/0.25 = 8
2.50-2.25
What is the eqn of the line: y = mx + b becomes
14 = (8)(2.5) + b; find b:
14-20 = b = -6. Then, y = 8x - 6.
Now determine whether (12,1.25) lies on this line.
Is 1.25 = 8(12) - 6? Is 1.25 = 90? No. So, unless I've made arithmetic mistakes, (1.25, 5) does not lie on the line thru (2.5,14) and (2.25,12).
Why not work this problem out yourself using my approach as a guide?
Put (a+h) where x is and simplify to the extent you desire.
f(a+h) = (a+h)^2 +3(a+h) +5
= a^2 +2ah +h^2 +3a +3h + 5
f(a+h) = a^2 +3a +5 +h(2a +3) +h^2
What integers do you want the problem to be
The distribution property is for exampe 8(5)