For more than three times a number is greater than 22

If we let the number be n,

expression: 3n + 4 > 22

solution: n > 6

Step-by-step explanation:

let the number be n

"three times a number" : 3n

"four more than three times a number" : 3n + 4

"is greater than 22" : 3n + 4 > 22

if you are being asked to solve for n,

3n + 4 > 22  (subtract 4 from both sides)

3n > 22-4

3n > 18  (divide both sides by 3)

n > 18/3

n > 6

Four more than three times a number is greater than 22

3x + 4 > 22

what "following statement"?

step-by-step explanation:

let's call the solutions x₁ = (5 - 2√7)/3 and x₂ = (5 + 2√7)/3

then the equation is (x-x₁)(x-x₂) = 0

if you fill that in you get a lot of numbers which you can recognize as ax²+bx+c=0.

step-by-step explanation:

you can see that a=1 (there is just an x²)

b = (-5 -2√7 + 2√7 - 5)/3 = -10/3

c = -2√7)/3 ) * (-5+2√7)/3) = -1/3

so your answer is 3x^2 – 10x – 1 = 0