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MrRa [10]
3 years ago
9

Which expression is equivalent to |b| >2?

Mathematics
2 answers:
Alex3 years ago
8 0

Answer:

|b| > 2 is equivalent to  -2 > b > 2.

Step-by-step explanation:

Definition of absolute value is:

The set of all points that satisfy the inequality |x| < c is the set of all points between c and -c except of -c and c.

In question statement , we observe that

x = b and c = 2.

Hence, the given inequality means the set of set of all points that is between 2 and -2 except 2 and -2.

hence, |b| > 2 is equivalent to -2 > b > 2.

vovangra [49]3 years ago
6 0

Answer:

The equivalent expression for |b| > 2 is {b : b < -2} ∪ {b : b > 2}.

Step-by-step explanation:

The expression |x| < a is equivalent to -a < x < a and the expression |x| > a is equivalent to {x : x < -a} ∪ {x : x > a}.

This means, the set of all points that satisfy the inequality |x| < a is the set of all points between -a and a exclusive of -a and a.

The set of all points that satisfy the inequality |x| > a is the set of all points that are less than -a and the set of all points that are greater than a.

Hence, the equivalent expression for |b| > 2 is {b : b < -2} ∪ {b : b > 2}.

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An equation of a curve that has a point on it that is equally spaced from a fixed point and a fixed line is referred to as a parabola. The parabola's fixed line and fixed point are together referred to as the directrix and focus, respectively. It's also crucial to remember that the fixed point is not located on the fixed line. A parabola is a locus of any point that is equally distant from a given point (focus) and a certain line (directrix).

According to the question,

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On solving the two equations simultaneously, we get,

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Learn more about parabolas here:

brainly.com/question/4061870

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Step-by-step explanation:

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