What is the range of values for the measurements 500 +/- 4%

To be able to determine the unknown range of the number with tolerance given, first we need to determine the 4% of 500. This can be done by multiplying 500 by the decimal equivalent of 4% which is equal to 0.04.

  tolerance = (500) x (0.04) = 20

Lower limit: The lower limit is determined by subtracting 20 from 500.

  Lower limit = 500 - 20 = 480

Upper limit: The upper limit is determined by adding 20 to the base value 500.

  Upper limit = 500 + 20 = 520

The values, therefore, rang from 480 to 500.

ANSWER: 480 - 520

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

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