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How many integers satisfy the inequality $(x+3)^{2}\leq1$?

 Oct 26, 2014

Best Answer 

 #1
avatar+23254 
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(x+3)²  will always be positive.

The only integers less than or equal to 1 are 0 and 1.

How can (x+3)² = 0 ?  --->  x = -3

How can (x+3)² = 1 ?  --->  (x + 3) = 1  or (x + 3) = -1  --->  x = -4  or  x = -2

Answer:  3 integers: -2, -3, and -4 

 Oct 26, 2014
 #1
avatar+23254 
+5
Best Answer

(x+3)²  will always be positive.

The only integers less than or equal to 1 are 0 and 1.

How can (x+3)² = 0 ?  --->  x = -3

How can (x+3)² = 1 ?  --->  (x + 3) = 1  or (x + 3) = -1  --->  x = -4  or  x = -2

Answer:  3 integers: -2, -3, and -4 

geno3141 Oct 26, 2014

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