UPPER AND LOWER BOUNDS
a book has a front and a back and 400 pages. the front and back cover are each 0.9 mm thick, measured to 1 decimal place. each page is 0.13 min thick, measured to two decimal places. calculate the minimum thickness of the book. some working must be shown

51.7mm

Step-by-step explanation:

#Find the minimum bound of the back/front thickness:

-Given that it's rounded to one decimal point, the margin or error will be:

We subtract this ME from the front thickness to get the minimum thickness:

#Find the minimum bound of the pages:

-Given that it's rounded to one decimal point, the margin or error will be:

We subtract this ME from the page thickness to get the minimum thickness:

The minimum book thickness is thus calculated as:

Hence, the minimum thickness of the book is 51.7 mm

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

is only a line? i think so