For the given function f(x) and numbers L, c, and ϵ>0, find an open interval about c on which the inequality |f(x−L|<ϵ holds. Then give a value for δ >0 such that for all x satisfying 0<|x−c|<δ the inequality |f(x)−L|<ϵ holds. f(x)=mx+b, m>0,L=m2+b, c=12,ϵ=k>0.For what open interval does the inequality |f(x)−L|>ϵ hold? (type your answer in interval notation.)
Find the largest value δ>0 such that for all x satisfying 0<|x−c|<δ the inequality |f(x)−L|<ϵ holds.
δ =

answer: b

step-by-step explanation:

choice b is correct

step-by-step explanation:

we have been given the following system of linear inequalities;

we are required to graphically determine the solution to these system of inequalities. using a graphing tool, the solution is as shown in the attachment below;

$3720

step-by-step explanation:

taxable income = $31000

as per the 2018-2019 us tax bracket, the tax rate is 12% for an individual whose taxable income is between $9,526 to $38,700.

so, the tax to be paid by him = 12% of 31000

= 0.12 * 31000     [12% converted to decimal as 0.12]

= $3720

c.)

step-by-step explanation: