Solve the compound inequality 6b < 42 or 4b + 12 > 8

-1 < b < 42

Step-by-step explanation:

Given:

Condition 1:

6b < 42

Dividing both sides by 6 we get

b < 42

Condition 2:

4b + 12 > 8

Subtracting 12 from both sides we get

4b + 12 - 12 > 8 - 12

4b > -4

Dividing both sides by 4 we get:

b > -1

So combining both conditions, the compound equality will be:

                       -1 < b < 42

It depicts b is greater than -1 and smaller than 42.

I hope it will help you!

the perimeter is increased by a factor of 2

the transverse axis of a hyperbola is the line that contains the two vertices and the two focuses.

in this example (hyperbola of equation x^2/2 - y^2/4 = 1), the transverse axis is the  x-axis  . 

step-by-step explanation: