2. Solve for z and express your answer in interval notation: 10 – 4z<20

I belive its z > -5/2

Step-by-step explanation:

First subtract 10 from both sides.

Then simplify

Then multiply both sides by -1 because you're reversing the inequality

simplify again

Then divide both sides by 4

Finally you simplify to get

z > -5/2

:)

1: -2 3/4, -2 1/2, -14, 0, 3, 8 1/3

2: -4, -3, -2 1/2, -2 1/4, 3 1/4,

step-by-step explanation:

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like: