If you know that a < b, and both a and b and positive numbers, then what just be true about the relationship between the opposites of these numbers? Explain.​

-a > -b

Step-by-step explanation:

On a number line, every number (except zero, the origin) has both a magnitude and a direction (left or right, negative or positive).

The magnitude is how far the number is from the origin. 10 is further from zero than 6 is. And -10 is alos further from zero than -6 is.

If a < b and a,b are both positive, that means a and b are both on the right-hand side of the number line, and a is closer to the origin than b. The magnitude of a is smaller than that of b.

So if we switch the sign son both a and b, they both become negative and go over to the left-hand side of the number line. But their magntidues do not change, so a is still closer to the origin than b. Since b is now a negative number, further to the left than a, it is smaller than a.

Example: let a = 3 and b =5.  

It is true that 3 < 5.

But it is NOT true that -3 < -5. It's the other way around!

-5 < -3

So, if a < b, then -a > -b.

I hope this brainliest, for 5 stars.

answer is 67%

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