-1/4y-5>-8

Question

is it y<12 this is the problem -1/4-5>-8

Answer 1

Hi Gabby;

I assume we are solving for y...

(-1/4)y-5>-8

Let's add 5 to both sides...

(-1/4)y-5+5>-8+5

-(1/4)y>-3

Let's multiply both sides by -4.  Because this is a negative number, > must switch to <.

(-4)(-1/4)y<(-3)(-4)

y<12

You are correct.

I do not know if you understand the difference between < and >,  In the sixth grade, the way we remembered this is, The alligator is going to eat the bigger one.  Of course, in the face of negativity, the alligator changed direction.

The range of y is all values less than 12.

Answer 2

Yes!

 

-1/4y - 5 > -8             Add 5 to both sides

       +5    +5

 

-1/4y > -3                  Multiply by -4, which flips our inequality

x -4      x -4

 

y < 12                        Our solution!

Answer 3

Correct.  I always tell my students the inequality < or > points to the smaller number.  They seem to remember that easier.