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3 years ago

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 <

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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3 years ago

Read 2 more answers

What is the distance from Cto D?

IRINA_888 [86]

Given:

The two points C(2,-1) and D(5,3) on a coordinate plane.

To find:

The distance from C to D.

Solution:

The distance between two points is defined by the distance formula.

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

The two points are C(2,-1) and D(5,3). Using the distance formula, we get

$CD=\sqrt{(5-2)^2+(3-(-1))^2}$

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On further simplification, we get

$CD=\sqrt{9+16}$

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8 0

2 years ago