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x≥4.5  y≤3.5

Step-by-step explanation:

let the first number be x and the second number be y the sum of the 2 numbers is at least 8 for at least we make use of these symbol ≥ x+y≥8 the sum of the first and 3 times the second is not more than 15 for no more than we make use of these symbol ≤ x+3y≤15 from equation 1 x≥ 8-y put x≥8-y in equation 2

x+3y≤15

8-y+3y≤15

8+2y≤ 15

2y≤15-8≤7

y≤ 7/2 ≤ 3.5

y≤3.5

equate y≤3.5 back in x≥8-y

x≥8-3.5 ≥4.5