Question

Use the addition property and/or the multiplication properties to find a and b.If -5

Answer 1

Given : -5 < x < 5

And we need to reach to a < 6x + 2 < b

So,

-5 < x < 5

multiply all sides by 6

So,

-30 < 6x < 30

add 2 to all sides

So,

-30 + 2 < 6x + 2 < 30 + 2

-28 < 6x + 2 < 32

Compare the final result to : a < 6x + 2 < b

So, a = -28 and b = 32