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Find all values of s such that (s + 4)(s - 3) \le 0. Give your answer as an interval. 

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 Oct 25, 2014

Best Answer 

 #1
avatar+23254 
+5

For the product of two numbers to be less than or equal to zero:

1) either one can be zero; thus,  s = -4  or  s = 3.

2) the first one is negative and the second one is positive:  

              x + 4 < 0  and  s - 3 > 0

 so:         x  < -4  and  x  > 3     (but this situation isn't possible)

3) the first one is positive and the second one is negative:

              x + 4 > 0  and  s - 3 < 0

 so:         x  > -4  and  x  < 3        (this situation is possible)

Thus, the answer (from part 1 and part 3):  -4 ≤ x ≤ 3

 Oct 25, 2014
 #1
avatar+23254 
+5
Best Answer

For the product of two numbers to be less than or equal to zero:

1) either one can be zero; thus,  s = -4  or  s = 3.

2) the first one is negative and the second one is positive:  

              x + 4 < 0  and  s - 3 > 0

 so:         x  < -4  and  x  > 3     (but this situation isn't possible)

3) the first one is positive and the second one is negative:

              x + 4 > 0  and  s - 3 < 0

 so:         x  > -4  and  x  < 3        (this situation is possible)

Thus, the answer (from part 1 and part 3):  -4 ≤ x ≤ 3

geno3141 Oct 25, 2014

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