Thirty-five more than the limit of weight (w) in an elevator is greater then 1,050 pounds.
a. model with an inequality.
b. solve the inequality.
c. where would the solution for the inequality be graphed on the number line?

Part A)

Part B)

Part C) The graph in the attached figure

Step-by-step explanation:

Part A) Model with an inequality.

Let

w -----> the limit of weight in an elevator

we know that

The inequality that represent this situation is

Part B)   Solve the inequality

solve for w

Subtract 35 sides

All real numbers greater than 1,015 pounds

Part C) Where would the solution for the inequality be graphed on the number line?

The solution is the interval -------> (1,015,∞)

In a number line is the shaded area at right of the number x=1.015 (open circle)

see the attached figure

$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