Answer :
Answer:
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