how do i do an equation like this [2x-3]<7 ?

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how do i do an equation like this [2x-3]<7 ?

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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You solve it like you would a normal equation, the only difference is when you try to divide to get x by itself. If you divide by a negative number you flip the "<" to a ">"
ok can you be more specific?
\[2x-3<7\] \[2x<10\] \[x = \frac{ 10 }{ 2 }\] \[x = 5\]

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Other answers:

Those last 2 "=" should be "<", sorry
To what I said earlier, if it was: -2x < 10 In order to solve for x you would have to divide by 'negative' 2. Since you divide by a negative you just flip the sign to a >
Make sense?
yeah i think im getting it
Good. Only way to get good at math is practice
I think you meant this: |2x-3|< 7
yeah
Oh it's an absolute value? Ok it's going to be a little different
Ok, first you have to get the absolute value by it self, in this chance it already is. Now, you need to have 2 equations. One is set equal to 7, and the other equal to -7 so, \[2x-3 < -7\] and \[2x-3<7\]
Then you just solve both of them like I did earlier. You'll get 2 values, one from each equation. Make sense?
yeah
First you add 3 to both sides so that you get : 2x = 10. Now divide both sides by 2 and what do you get?
What answers did you get?
The answer is 5.
There's 2 answers
oh

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