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postnew [5]
3 years ago
6

20% of all the children in a class are left handed.

Mathematics
1 answer:
DaniilM [7]3 years ago
6 0

Answer:

There are 20 students in the class

Step-by-step explanation:

Let the total number of children in the class be = x

from the question, we know that 20% of all the children are left-handed. We also know that 20% of the total children in the class = 4.

This means that 20% of  x = 4

Wherever we see the word "of" in an arithmetic problem, we should know that it infers a multiplication there.

Hence, we have

\frac{20}{100} \times x = 4

x = \frac{4 \times 100}{20}= 20

There are 20 children in the class altogether

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To find where the inequality is true, we use a sign test. When x-5 > 0, it means x >5, and 5 is one of our sign test values. Similarly, -2 is the other. We can then make three intervals - A (less than -2), B (between -2 and 5), and C (more than 5).

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To do a sign test, we choose values to see what happens. First, test x = -5.

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Next, test x = 0.

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We put the true intervals together.

(-∞, -2) ∪ (5, ∞) is where this inequality is true,

{x : x < -2 or x > 5} is also how it's said in set notation.

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