Are the following statements equivalent: a) ab> 0 and “a> 0, b> 0” b) ab> 0 and “the numbers a and b are of the same sign” c) ab> 0 and “a> 0, b> 0 or a< 0, b< 0” d) ab< 0 and “a> 0, b< 0” e) ab< 0 and “a< 0, b> 0 or a> 0, b< 0” f) ab< 0 and “the numbers a and b are of different signs” *brainliest to first correct answer* *cannot be this is a huge grade*

all statements discuss the multiplication of two numbers (we can say they are equivalent based on this context)

first three statements are exactly the same

last three statements are exactly the same

Explanation:

Let's go through the statements one by one:

1) ab > 0 and “a>0, b>0”

We know that when multiplying two positive numbers, the result is always a positive number.

Examples:

2 * 3 = 6

We can note that when the two operands are positive, the result is also positive

2) ab > 0 and “the numbers a and b are of the same sign”

We know that when multiplying two positive numbers or two negative numbers, the result will always be positive

Examples:

2 * 3 = 6

-2 * -3 = 6

We can note that when the two operands have the same sign, the result is positive

3) ab > 0 and “a>0, b>0 or a<0, b<0”

This choice is actually the same as the previous one.

When the two numbers are positive: a > 0 and b > 0

Wen the two numbers are negative: a < 0 and b < 0

Therefore, it is just a paraphrasing of statement 2

4) ab < 0 and “a>0, b<0”

We know that when we multiply numbers of different signs, the result will always be negative

Examples:

2 * -3 = -6

We can note that when the two operands have different signs, the result is negative

5) ab < 0 and “a<0, b>0 or a>0, b<0”

This is the same as statement 4 as it shows that the two operands have different signs (one is greater than zero while the other is less than zero), their product will be a negative number (less than zero)

6) ab < 0 and “the numbers a and b are of different signs”

This is the same as statement 5. It is only a paraphrase of the words.

Based on the above, we can conclude that:

1- all statements discuss the multiplication of two numbers

2- first three statements are exactly the same

3- last three statements are exactly the same

Hope this helps :)

step-by-step explanation: the declaration of the rights of man and of the citizen (french: déclaration des droits de l'homme et du citoyen de 1789), set by france's national constituent assembly in 1789, is a human civil rights document from the french revolution.[1]

the declaration was drafted by the abbé sieyès and the marquis de lafayette, in consultation with thomas jefferson.[2] influenced by the doctrine of "natural right", the rights of man are held to be universal: valid at all times and in every place, pertaining to human nature itself. it became the basis for a nation of free individuals protected equally by the law. it is included in the beginning of the constitutions of both the fourth french republic (1946) and fifth republic (1958) and is still current. inspired by the enlightenment philosophers, the declaration was a core statement of the values of the french revolution and had a major impact on the development of freedom and democracy in europe and worldwide.[3]

the 1789 declaration, together with the 1215 magna carta, the 1689 english bill of rights (1689), the 1776 united states declaration of independence, and the 1789 united states bill of rights, inspired in large part the 1948 united nations universal declaration of human rights