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Sidana [21]
3 years ago
11

Match the solution set given in inequality notation with the solution set given in interval notation.

Mathematics
1 answer:
iragen [17]3 years ago
6 0

x ≤ a → x ∈ (-∞, a]

x < a → x ∈ (-∞, a)

x ≥ a → x ∈ [a, ∞)

x < a → x ∈ (a, ∞)

--------------------------------------

Therefore:

x ≥ 7.8 → [7.8, ∞)

x < 7.8 → (-∞, 7.8)

x ≤ 7.8 → (-∞, 7.8]

x > 7.8 → (7.8, ∞)

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When a jar of fruit is 2/3 of the way full it can hold 2 1/4 cups of fruit what fraction of the jar is full when it only contain
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Answer:

8/27

Step-by-step explanation:

<h2><u>Fractions</u></h2>

a jar of fruit is 2/3 of the way full it can hold 2 1/4 cups of fruit

what fraction of the jar is full when it only contains one cup of fruit?

by using these statements , we can solve this through <u>cross multiplication</u>:

fraction that the jar is full                   :           number of cups of fruit

                 \frac{2}{3}                                         :                        2 \frac{1}{4}

                 x                                         :                        1

\frac{2}{3}  = 2 \frac{1}{4} x

convert 2 \frac{1}{4} from a mixed fraction to an improper fraction

hence 2 1/4  = 9/4

solve

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x = \frac{2}{3} /  \frac{9}{4}

<u>x = 8/27</u>

<h3><u>when the cup contains one cup of fruit its fraction 8/27 full </u></h3>
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Hoped I helped!

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3 years ago
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