Determine whether the inequality is always, sometimes, or never true.

4x- 8<1+4(x+3)

Always true.

Step-by-step explanation:

First, solve the inequality:

4x - 8 < 1 + 4 ( x + 3 )

Distribute the 4,

4x - 8 < 1 + 4 ( x + 3 )

4x - 8 < 1 + 4x + 12

Simplify,

4x - 8 < 1 + 4x + 12

4x - 8 < 13 + 4x

Inverse operations,

4x - 8 < 13 + 4x

-4x              -4x

-8 < 13

This is an identity, this equation: -8 < 13, is always going to be true.

Hence the inequality is always true.

b.) 160 miles on a 5 gallons car

step-by-step explanation:

240/10=24 miles/gallon

160/5=32 miles/gallon

30/1=30 miles/gallon

168/6= 28 miles/gallon

32 miles/gallon is the most amount, so this is the best.

according to this law, when unemployment goes up by 1%, gdp drops by 2%. in the question, unemployment rate goes from 2% to 5%, meaning unemployment goes up by 3%, so the gdp drops by 6%. thus the effect is a drop in gdp by 6%.

step-by-step explanation: