The solution to the given open sentence is n ≥ –3 and n ≤ 4. The correct option is A) n ≥ –3 and n ≤ 4
From the question,
We are to solve the open sentence –1 ≤ n + 2 ≤ 6
From the given inequality, we can deduce that
–1 ≤ n + 2
Solving for the variable, n
-1 -2 ≤ n
-3 ≤ n
Then,
n ≥ -3
We can also deduce that,
n + 2 ≤ 6
Solve for n by collecting like terms
n ≤ 6 -2
n ≤ 4
Hence, the solution to the given open sentence is n ≥ –3 and n ≤ 4. The correct option is A) n ≥ –3 and n ≤ 4
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