Question

Drag the tiles to the correct boxes to complete the pairs. Not all the tiles will be used.

Match each description with the correct inequality.

Answer 1

(5x)² ≥ 46

x² + 5x ≤ 46

5x² > 46

Explanation:

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 the 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 no 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 no 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