Step-by-step explanation:
Isolate x.
7
−
8
x
>
19
−
7
Add
7
to
−
7
to cancel it out because it is the lowest number here.
But you do to one side what you do to the other, so add
7
to the positive
7
on the other side. You should now have:
14
−
8
x
>
19
Now, subtract
14
from
14
to cancel it out and do the same to the other side
(
19
)
. Now, you should have:
−
8
x
>
5
Now, to isolate
x
,
divide by
−
8
.
But remember when you divide or multiply an inequality by a negative value, the sign changes around.
−
8
x
−
8
<
5
−
8
Because you divided by a negative, the sign flips:
x
<
−
5
8
