Solve the open sentence. –1 ≤ n + 2 ≤ 6

A) n ≥ –3 and n ≤ 4
B) n ≥ 3 and n ≤ –2
C) n ≤ 1 and n ≤ 6
D) n ≤ –3 and n ≤ 2

Respuesta :

1. to solve you subtract 2 on both sides. 
-3 ≤ n ≤ 4 
Sooooo 
The answer would be A!

The solution to the given open sentence is n ≥ –3 and n ≤ 4. The correct option is A) n ≥ –3 and n ≤ 4

Inequalities

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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