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3 years ago

Which of the following represents the set "all values of x greater than or equal to −1 and less than 2" in set builder notation?

Mathematics

2 answers:

Andru [333]3 years ago

7 0

Answer: B. {x | −1 ≤ x < 2}

Step-by-step explanation:

Sign we use to denote less than '<' .

Sign we use to denote greater than or equal : $'\geq'$

The expression to show all values of x greater than -1 : $-1 \leq x$

The expression to show all values of x less than 2 : $x$

Now , the expression is used to show "all values of x greater than or equal to −1 and less than 2".

{x | −1 ≤ x < 2}

So , the correct answer : B. {x | −1 ≤ x < 2}

RoseWind [281]3 years ago

3 0

Im thinkking B because to me it just makes most sense

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2 years ago

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sertanlavr [38]

The solution is $x = 2 \text{ and } y = \frac{1}{2}$

Solution:

Let us assume,

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Rewrite the equation using "a" and "b"

2a - 3b = -5 ------------ eqn 1

4a + 6b = 14 -------------- eqn 2

Let us solve eqn 1 and eqn 2

Multiply eqn 1 by 2

2(2a - 3b = -5)

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Add eqn 2 and eqn 3

4a + 6b = 14

4a - 6b = -10

( - ) --------------------

8a = 4

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Substitute a = 1/2 in eqn 1

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Now let us go back to our assumed values

Substitute a = 1/2 in assumed values

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