-8x > -64
A little confused on how this is done.
-8x > -64
Divide both sides by -8. Turn the sign around because you're dividing by a negative number.
x < 8
one way is to remember to change direction when multiplying/dividing by negative values. So,
-8x > -64
x < 8
This is just a shortcut to doing the addition/subtraction to swap sides:
-8x > -64
add 8x:
0 > 8x-64
add 64:
64 > 8x
8 > x
no change of direction needed here, but the 8x still winds up on the proper side of the arrow
Thank you so much!
You're very welcome.
To solve the inequality -8x > -64, you need to isolate the variable x on one side.
Step 1: Divide both sides of the inequality by -8. Keep in mind that when you divide or multiply both sides of an inequality by a negative number, the direction of the inequality sign flips.
-8x/-8 < -64/-8
This simplifies to:
x < 8
So the solution to the inequality -8x > -64 is x < 8.