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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.

Guest Jul 27, 2019

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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 · Answer 1 · 2019-07-27T02:51:03

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?

Guest · Answer 2 · 2019-07-27T03:30:12

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

Logic · Answer 3 · 2019-07-27T06:45:18

Thanks ElectricPavlov