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For what values of x is it true that \(x^2 - 5x - 4 \le 10\)? Express your answer in interval notation.

 Jul 27, 2019

Best Answer 

 #1
avatar+19832 
+2

Subtract 10 from both sides of the equation to get

x^2-5x-14 <=0

(x-7)(x+2) <= 0

 

x =7 and -2 for thequation to EQUAL 0       intervals  :   -inf to -2    -2 to 7   and 7 to +inf

                                                                             which do you think satisfy the equation?

 Jul 27, 2019
 #1
avatar+19832 
+2
Best Answer

Subtract 10 from both sides of the equation to get

x^2-5x-14 <=0

(x-7)(x+2) <= 0

 

x =7 and -2 for thequation to EQUAL 0       intervals  :   -inf to -2    -2 to 7   and 7 to +inf

                                                                             which do you think satisfy the equation?

ElectricPavlov Jul 27, 2019
 #2
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0

so is -2 to 7 what I put in? I am on AoPS this stuff is really confusing.

 Jul 27, 2019
 #3
avatar+19832 
+2

[-2,7] would be the notation

ElectricPavlov  Jul 27, 2019
 #4
avatar+1196 
+1

Thanks ElectricPavlov

 Jul 27, 2019

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