Question

UPPER AND LOWER BOUNDARIES

Answer 1

Answer:

The minimum of a - b is 41.325

Step-by-step explanation:

Let us solve the question using upper and lower boundaries

∵ a = 49.0 rounded to 1 decimal place

∵ 1 decimal place means 0.1

→ Divide 0.1 by 2

∵ 0.1 ÷ 2 = 0.05

→ Add 0.05 to the rounded number to get the upper boundary

∵ 49.0 + 0.05 = 49.05

∴ The upper boundary = 49.05

→ Subtract 0.05 from the rounded number to get the lower boundary

∵ 49.0 - 0.05 = 48.95

∴ The lower boundary = 48.95

∴ The range of a is 48.95 ≤ a < 49.05

∵ b = 7.62 rounded to 2 decimal places

∵ 2 decimal place means 0.10

→ Divide 0.01 by 2

∵ 0.01 ÷ 2 = 0.005

→ Add 0.005 to the rounded number to get the upper boundary

∵ 7.62 + 0.005 = 7.625

∴ The upper boundary = 7.625

→ Subtract 0.005 from the rounded number to get the lower boundary

∵ 7.62 - 0.005 = 7.615

∴ The lower boundary = 7.615

∴ The range of b is 7.615 ≤ b < 7.625

To find the minimum value of a - b, use the smallest value of a and the greatest value of b

∵ The minimum of a - b = lower boundary of a - upper boundary of b

∴ The minimum of a - b = 48.95 - 7.625

∴ The minimum of a - b = 41.325

∴ The minimum of a - b is 41.325