Question

The product of -3 and a number is at least -24?
A. -3x ≥ -24; x ≤ 8
B. -3x ≥ -24; x ≥ 8
C. -3x < -24; x > 8
D. -3x > -24; x > 8

Answer 1

Answer:

the answer of the question is c3>24;x>8

Answer 2

Answer:

The Correct Answer would be B. -3x ≥ -24; x ≥ 8. The mathematical representation of the given statement : the product of -3 and a number is at least -24 is -3x ≥ -24; x ≥ 8.

Step-by-step explanation:

Given: The algebraical statement of a mathematical expression, which is the product of -3 and a number is at least -24.

To Find: The mathematical expression.

Now, looking at the given statement, we can conclude somethings. First, we have the product of some number and -3. This means the number gets multiplied be -3. Let the number be x. Then, writing it mathematically:

We have, -3 × x = -3x

Next up, this product is atleast -24. This means, it can be equal to -24 as well as greater than -24. Hence, for this, we use ≥.

Now, for a number to be multiplied to -3 to make it -24, it is 8, as 8×-3 = -24.

For the final touch, we'll replace = sign with ≥, because now we have atleast, not equal to. Hence, the mathematical expression would look like:                                    

                                             -3x ≥ -24; x ≥ 8