I am helping my daughter with her math.
We are working on solving inequalities.
our problem is like this,
2x+1>3; 1
I have a basic idea, but not sure how to show her how to show work.

- anonymous

- schrodinger

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- radar

\[2x+1>3\]

- radar

subtract 1 from both sides as if it was a regular equality equation.
2x>3-1 or 2x>2 divide both sides by 2 giving the answer x>1
if you divide by or multiply by a 1 change the direction of the inequality. did not have to in this problem, always check your results

- radar

I meant to say a minus 1!!

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## More answers

- anonymous

give me min to review

- radar

when multiplying both sides by a negative change the direction of the inequality sign.
Hope this did not confuse you

- anonymous

The directions say to decide whether the given number is a solution of the inequality

- anonymous

im still reviewing it. Im slow to understand math.

- radar

No the given number shown as a 1 is not larger it actually equals 3

- anonymous

but the x = 1?

- radar

No look at my second post, x>1 not equal to one

- anonymous

I dont see where you divided by 2. I see the rules but am confused

- anonymous

so if the problem is 2x-1>3 you do it as if it were an equal sign so it be 2x-1=3 so you add one to the right side which will be 2x=4 so you divide by 2 which is x=2 but since it was a (>) its x>2 and since you didn't divide by a negative you don't chance the sign. i hope it helps

- anonymous

the problem said +1, but you subtract it?

- anonymous

I am confused, I dont see any negative numbers.

- radar

I divided both sides by 2 where it was 2x>2 2x/2 was on one side and 2/2 was on the other giving x>1

- anonymous

my bad so if its 2x+1>3 do it like an equal sign. 2x+1=3 so you subtract one to the right side which will make it 2x=2 so to leave the x by itself you divide by two. So it be x=1 but since you had(>) it be x>1

- radar

Remember how you try to isolate the x on one side and have constants on the opposite side?
If you subtract from one side you must subtract from the other side.

- radar

I subtracted the 1 to isolate the unknown on one side.

- anonymous

2x+1>3;1
is the same as 2x-3=1

- anonymous

are you just dropping the +1

- radar

No, look carefully 2x+1>3 is the same as x>1

- anonymous

are you replacing the + with the >

- radar

No I am doing a series of steps that will solve the problem.
Step 1 was to subtract 1 from both sides giving
2x>3-1 or 2x>2 You do see that on the left side 2x+1-1 = 2x

- anonymous

ok, thanks,

- anonymous

2x+1>3
-1 -1
2x>2
/2 /2
x>1 Thats the answer

- radar

Good luck teaching your daughter

- anonymous

thanks, i need as much help as her LOL

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