Question

the sum of the number and 84 is greater than the product of -3 and the same number

Answer 1

x = the number

(x + 84) > -3x --- subtract 84 from both sides
x > -3x - 84 --- add 3x to both sides
x + 3x > -84 --- combine like terms
4x > -84 --- divide both sides by 4
x > -84/4
x > - 21
The number (x) could be any number greater then -21...such as -20, -19, -18, and so on..

check.. lets make the number be -20
the sum of a number and 84...
-20 + 84 = 64

is greater ...
>

then the product of -3 and the same number...
-3(-20) = 60

so, 64 > 60....this is correct.

so like I said before, your answer is any number greater then -21