Question

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

Answer 1

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 ">"

Answer 2

ok can you be more specific?

Answer 3

\[2x-3<7\]
\[2x<10\]
\[x = \frac{ 10 }{ 2 }\]
\[x = 5\]

Answer 4

Those last 2 "=" should be "<", sorry

Answer 5

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 >

Answer 6

Make sense?

Answer 7

yeah i think im getting it

Answer 8

Good. Only way to get good at math is practice

Answer 9

I think you meant this:

|2x-3|< 7

Answer 10

@Dragonjuice97

Answer 11

yeah

Answer 12

Oh it's an absolute value? Ok it's going to be a little different

Answer 13

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
\[2x-3<7\]

Answer 14

Then you just solve both of them like I did earlier. You'll get 2 values, one from each equation.

Make sense?

Answer 15

yeah

Answer 16

First you add 3 to both sides so that you get : 2x = 10. Now divide both sides by 2 and what do you get?

Answer 17

What answers did you get?

Answer 18

The answer is 5.

Answer 19

There's 2 answers

Answer 20

oh