Question

The difference of 3 times a number and 15 is no less than the square of the number.

Answer 1

Answer:

(B) The inequality that represents this relationship is $3x < x^2 +15$

Step-by-step explanation:

Let us assume the given number = x

⇒ 3 times the given number = 3 (x)  = 3x

Square of the given number = $(x)^2 = x^2$

Now, According to the question:

The difference of (3 x) and 15 is no less than $x^2$

⇒ $3x - 15 < x^2\\ \implies 3x < x^2 +15$

or, $3x < x^2 +15$

Hence, the given inequality is represented as $3x < x^2 +15$

Answer 2

Answer:

3x - 15 > $x^{2}$

Step-by-step explanation:

Let the number be x

⇒3 times the number is 3x and square of the number is $x^{2}$

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 ≥ $x^{2}$