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3 years ago

Solve the following inequality.

Mathematics

1 answer:

Crazy boy [7]3 years ago

4 0

Answer:

A -6 < x ≤ -3

Step-by-step explanation:

21 ≤ - 3(x - 4) < 30

Divide all parts by -3. Remember that flips the inequalities

21/-3 ≥ - 3/-3 (x - 4) > 30/-3

-7 ≥ (x - 4) > -10

Add 4 to all sides

-7+4 ≥ x - 4+4 > -10+4

-3 ≥ x > -6

Rearranging the order

-6 < x ≤ -3

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3 years ago

Of the students in your class, 12% are left-handed. What fraction of the students are left-handed? Are there more right-handed o

kvv77 [185]

The left-handed students
12% are left handed, percent means per hundred. Change percent into per 100.
12% = $\dfrac{12}{100}$

Then simplify the fraction by dividing the numerator and denominator by 4
$\dfrac{12}{100}$
= $\dfrac{12:4}{100:4}$
= $\dfrac{3}{25}$
This is the fraction showing the proportion of the left-handed students

The right-handed students
Determine the fraction showing the proportion of the right-handed students
1 - the left-handed
= 1 - $\dfrac{3}{25}$

Equalize the denominator to 25
$\dfrac{25}{25} - \dfrac{3}{25}$

Simplify
$\dfrac{21}{25}$
This is the proportion of the right-handed students

<span>Are there more right-handed or left-handed students?
There are more right-handed students than the left-handed students, because 21/25 is more than 3/25</span>

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4 years ago