no, it's wrong
if
1>2h+3
-2>2h
1>2h+3>-1
1>2h+3
2h>2
h>1
2h+3>-1
2h>-4
h>-2
Is this right?
4 answers
Is h>-1?
I am going to do this very slowly
1>2h+3>-1
now subtract 3 from everything
-2 > 2h > -4
now divide everything by +2 (by the way if you divide or multiply by a NEGATIVE number, you change the directions of arrows - keep that in mind although we do not need it here).
-1 > h > -2
I personally would write that as
-2 < h < -1
because I like to think from left to right on a number line
1>2h+3>-1
now subtract 3 from everything
-2 > 2h > -4
now divide everything by +2 (by the way if you divide or multiply by a NEGATIVE number, you change the directions of arrows - keep that in mind although we do not need it here).
-1 > h > -2
I personally would write that as
-2 < h < -1
because I like to think from left to right on a number line
NOW
Go back and check the answer.
Here is your problem statement:
1>2h+3>-1
and I said the solution was:
-2 < h < -1
So try h = -2
then
1 > 2*-2 +3 > -1 ????
1 > -4+3 > -1 ???
1 > -1 >-1 yes, as expected right on the border
Now try h =-1 ,that should be on the other border
1 > 2*-1 +3 > -1 ???
1 > -2 + 3 > -1 ???
1 > 1 > -1 yes, sure enough
Now try a number between h = -1 and h = -2
For example h = -1.5
then
1 > 2*-1.5 +3 > -1 ???
1 > -3 +3 > -1 ???
1 > 0 > -1 sure enough, 0 is grater than -1 and less than +1
Go back and check the answer.
Here is your problem statement:
1>2h+3>-1
and I said the solution was:
-2 < h < -1
So try h = -2
then
1 > 2*-2 +3 > -1 ????
1 > -4+3 > -1 ???
1 > -1 >-1 yes, as expected right on the border
Now try h =-1 ,that should be on the other border
1 > 2*-1 +3 > -1 ???
1 > -2 + 3 > -1 ???
1 > 1 > -1 yes, sure enough
Now try a number between h = -1 and h = -2
For example h = -1.5
then
1 > 2*-1.5 +3 > -1 ???
1 > -3 +3 > -1 ???
1 > 0 > -1 sure enough, 0 is grater than -1 and less than +1