What is the answer to this inequality? 10 points!!

What is the value of t? (Has to be a whole number)

-10<5t≤7

please explain how you got that and your methods because I dont get it at all.

Whole Numbers are simply the numbers 0, 1, 2, 3, 4, 5, … (and so on) So, we have to first solve the inequality, then figure which values in that range would satisfy this definition.

-10<5t≤7
To solve this dual type of inequality, you can do the same operation to all 3 parts of the inequality. SO, divide all 3 parts by 5:

-10/5 < 5t/5 ≤ 7/5
-2 < t ≤ 7/5

So, now you know that your answer has to be a whole number less than 7/5 and greater than -2. There are two values that satisfy these requirements: 0 and 1

-10<5t≤7
Divide by 5 which is positive so inequalities do no reverse
-2 Certainly t=1
and depending on which number domain you are using...
so with this proviso 0 and -1 might be added

-10<5t<7
bring 7 to -10 and add them together
-3<5t
-3 divide by 5
=-3/5

The answer is 1.

5 times 1 is less than or equal to 7 but greater than negative 10

thats impossible

t=0 trial and error -10<0<7