Can the use of several relations on the same left-hand side be abbreviated so that the LHS is only written once?

Question

Can someone tell me whether I can express $$a ≈ 922\text{ trillion}, a > 922\text{ trillion}, a = 922,337,203,685,477.5808$$ using the following notation:

Possible way to abbreviate notation for relations operating on the same LHS

in a mathematical text?

---

If I can't, can someone tell me an abbreviating notation similar to this notation, that can be used?

---

Background

I'm asking these questions in relation to simplifying mathematical expressions on the new Data type summary page for the VBA programming language. In particular, various ranges are specified for different data types, and I want to improve general readability of these ranges, especially in regard to comparing the ranges.

The reader may want to simply read a ball-park upper-limit figure for a range, which is why '922 trillion' is in the text. It is easier to read than the precise upper limit, & this may be all that a reader is interested in. At the same time, some readers may want to know the exact upper limit.

I'm not so concerned about readers not being able to straightaway read any notation that I use, as I'm considering hyperlinking to verbose English-language interpretations for each of the mathematical texts on the page.

Answer 1

I don't think you should use invented notation. Although your reader would understand you , it is strange.

It is not at all clear why you are trying to say this. Apparently you have a precise value for a large number and also an approximate inequality, Which of these is important? Do you mean

I know this $15$ digit number to four decimal places of precision but all that matters is that it's almost $923$ trillion.

or

This number that's almost $923$ trillion has now been measured to four decimal places of precision.

My advice: be kind to your reader. Use more words instead of looking for compact notation that has to be deciphered.

Edit in response to comment

For the kind of documentation you are writing I think a display as in your image is fine (iat would not be in a math paper). As @lulu suggests, use $\lesssim$ or $\lessapprox$.

A comment in the Range field like

An approximate bound for $a$ and its exact value:

might be useful.

Answer 2

That’s weird but I get what you’re saying. How about $$a = 922\,337\,203\,685\,477.5808 > 922\text{ trillion} \approx 922\text{ trillion}$$ and/or $$\begin{align} a &= 922\,337\,203\,685\,477.5808 \\ &\gt 922\text{ trillion} \\ &\approx 922\text{ trillion} \end{align}$$