Solve the inequalities word problem u get 10 easy points?

Question

a. Choose a variable to represent the smaller integer . b. Use the variable to write an inequality based on the given informatin.
(do not solve.) The product of two consecutive integers no less than 75. (the smaller integer)

Answer 1

let n be the smaller integer,

n (n+1) >= 75

The smaller integer is any integer greater than or equal to 9.

Answer 2

let the smaller integer be s
s(s+1)>=75
or s(s+1) is not<75

Answer 3

x - Smaller integer
x+1 - Next consecutive integer

x(x+1) >= 75 (>= means greater than or equal to)

Answer 4

odd integer can be represented by 2x+1 as said before me, where x belongs to Z (integers). suppose y = 2x+1. If y is the greater integer and if the two numbers are odd, consecutive integers, z = y - 2 = 2x-1. In that case y + z =< 185, but since the sum of two odd integers cannot be an odd number, y+z<185 or y + z =< 184. which can be written as: 2y - 2 < 185 2z + 2 < 185 4x < 185 where x, y and z all belong to Z (integers). . cheers!

Answer 5

let the smaller integer =x
A.T.Q:- x(x+1)>=75

Answer 6

I choose x
(x+75)(x+76)

Answer 7

b*(b+1) >= 75 ,

b is 1st number so consecutive number must be b+1