-1/9t>or equal to 7

Question

answer to -1/9tthat is less than or equal to 7

Answer 1

Hi Laura;

I think you do not understand the difference between...

> and <

 

When I was in sixth grade, the way we remembered this is, the alligator is going to eat the bigger one.

 

≤ ≥

The alligator works the same way, except it may also eat something equal to that on the other side of the sign.  It is fussy, but not that fussy.

 

-1/9t≤7

I assume this is...

(-1/9)t≤7

Let's multiply both sides by -9

(-9)(-1/9)t≥(7)(-9)

Because we are multiplying by a negative number on both sides, the sign must switch--in response to negativity, the alligator is changing direction.

And because a negative number multiplied by another negative number renders a positive result...

And because a positive number multiplied by a negative number renders a negative result...

t≥-63

 

Another number greater than or equal to -63 resolves this and satisfies the alligator.

 

Unless I misunderstood you and the equation is...

-1/(9t)≤7

Let's multiply both sides by t...

(t)[-1/(9t)]≤7(t)

-1/9≤7t

Let's multiply both sides by 1/7...

(1/7)(-1/9)≤(7t)(1/7)

-1/63≤t