Respuesta :
Answer:
(B) The inequality that represents this relationship is [tex]3x < x^2 +15[/tex]
Step-by-step explanation:
Let us assume the given number = x
⇒ 3 times the given number = 3 (x) = 3x
Square of the given number = [tex](x)^2 = x^2[/tex]
Now, According to the question:
The difference of (3 x) and 15 is no less than [tex] x^2[/tex]
⇒ [tex]3x - 15 < x^2\\ \implies 3x < x^2 +15[/tex]
or, [tex]3x < x^2 +15[/tex]
Hence, the given inequality is represented as [tex]3x < x^2 +15[/tex]
Answer:
3x - 15 > [tex]x^{2}[/tex]
Step-by-step explanation:
Let the number be x
⇒3 times the number is 3x and square of the number is [tex]x^{2}[/tex]
Difference of 3 times a number and 15 is 3x -15
⇒This difference is no less than the square of the number
⇒The difference is greater than or equal to square of the number
⇒ 3x - 15 ≥ [tex]x^{2}[/tex]
