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Match each description with the correct inequality.
(5x)2 ≤ 46
(5x)2 ≥ 46
x2 + 5x ≤ 46
5x2 < 46
5x2 > 46
x2 + 5x ≥ 46
The square of the product
of 5 and a number is
no less than 46.
arrowBoth
The sum of the square of a
number and five times that
number is no more than 46.
arrowBoth
The product of 5 and the
square of a number is
greater than 46.
arrowBoth

A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

Here, Suppose number is x

1) The square of the product of 5 and a number is not less than 46.

Step 1

Product of 5

5x

Step 2

Square of product of 5

(5x)²

Step 3

A number is not less than 46

(5x)² ≥ 46

2) The sum of square of a number and five times that number is not more than 46

Step 1

Square of a number

x²

Step 2

Five times that number

5x

Step 3

The sum = x² + 5x

Step 4

Is not more than 46

x² + 5x ≤ 46

3) The product of 5 and the square of a number is greater than 46

Step 1

The square of a number

x²

Step 2

The product of 5

5x²

Step 3

Is greater than 46

5x² > 46

Thus, The correct answers are :

(5x)² ≥ 46

x² + 5x ≤ 46

5x² > 46

Learn more about Inequality from:

https://brainly.com/question/20383699

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