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Nesterboy [21]
3 years ago
8

What is the solution to the inequality |x-4|< 3? –7 < x < –1 1 < x < 7 x < –7 or x < –1 x > 1 or x <

7
Mathematics
1 answer:
balandron [24]3 years ago
5 0

|x-4| < 3\iff x-4 < 3\ \wedge\ x-4 > -3\ \ \ \ |+4\\\\x < 7\ \wedge\ x > 1\\\\Answer:\ \boxed{1 < x < 7}

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Answer:

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First tangent line:

y=f'(x_1)\cdot (x-x_1)+f(x_1)\ \to \ y=-1(x-2)+3\ \to \ y=-x+5

Second tangent line:

y=f'(x_2)\cdot (x-x_2)+f(x_2)\ \to \ y=-1(x+4)-3\ \to \ y=-x-7


Notice: slope of -1 means that both f'(x_1), \ f'(x_2) are equal to -1, so f'(x_1)=-1 \ and \ f'(x_2)=-1


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