Q: Are inverse always true

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This is not always true.

It can't always be true. What if an inverse relationship crosses the origin, or one of the axes? In that case, at least one of the values (and therefore the product) will be zero.

No

Itβs no

When a number is added to its additive inverse, the result is always 0.

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No.

This is not always true.

No

No

In order to determine if this is an inverse, you need to share the original conditional statement. With a conditional statement, you have if p, then q. The inverse of such statement is if not p then not q. Conditional statement If you like math, then you like science. Inverse If you do not like math, then you do not like science. If the conditional statement is true, the inverse is not always true (which is why it is not used in proofs). For example: Conditional Statement If two numbers are odd, then their sum is even (always true) Inverse If two numbers are not odd, then their sum is not even (never true)

It can't always be true. What if an inverse relationship crosses the origin, or one of the axes? In that case, at least one of the values (and therefore the product) will be zero.

never a negative number * * * * * ... true if, by opposite, you mean the additive inverse. However, the multplicative inverse is also an opposite. And the multiplicative inverse of a negative number is always negative.

No

Itβs no

No.Some functions have no inverse.

This is always true! According to the Additive Inverse Axiom -X+X always equals 0 which is equivalent to 0X.

No, zero does not have an inverse. The inverse of x is 1/x. x<>0