Question

The monthly average temperature, T, for San Francisco is usually within 7.5 degrees and 56.5 degrees, inclusive. What is the monthly average temperature? (Use either an equation or an inequality to model this situation.)

Answer 1

49 es la temperatura mensual

Answer 2

The solution set is 49 ≤ T ≤ 64.

The solution in interval notation is [49, 64]

2 possible cases

T - 56.5 ≥ 7.5           ...(1)

T - 56.5 ≤ 7.5           ...(2)

From (i)

T - 56.5 ≥ - 7.5

T ≥ - 7.5 + 56.5

T ≥ 49

From (ii)

T - 56.5 ≤ 7.5

T ≤ 7.5 + 56.5

T ≤ 64

The solution set is 49 ≤ T ≤ 64.

Therefore, The solution in interval notation is [49, 64].

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