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expeople1 [14]
2 years ago
5

Solve for |4x+3| < 9

Mathematics
1 answer:
julsineya [31]2 years ago
7 0
Under the absolute value could be positive or negative number, but absolute value make them both positive.
For positive number we can write is (4x+3) and for negative  -(4x+3)
 4x+3<9
4x< 6
x< 3/2    (-∞, 3/2)

 -(4x+3)<9
-4x-12<9
-4x<21
x>-21/4        (-21/4, +∞)

 (-∞, 3/2)∩  (-21/4, +∞) =(-21/4, 3/2) it could be written as (-5.25,  1.5)

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If a girl read 3/8 of a chapter book and another girl read 3/6 of a chapter book which girl read more pages
fredd [130]

Answer:

The girl which read 3/6 of a chapter book read more pages than the other girl.

Step-by-step explanation:

We need to compare between \frac{3}{8} \ and \ \frac{3}{6}

so, the denominator of both fractions should be the same number

Factor of 6 = 1 * 2 *          * 3

Factor of 8 = 1 * 2 * 2 * 2

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

The common denominator  = 1 * 2 * 2 * 2 * 3 = 24

\frac{3}{8} = \frac{3*3}{3*8} =\frac{9}{24} \\\frac{3}{6} = \frac{4*3}{4*6} =\frac{12}{24}

Then compare between \frac{9}{24} \ and \frac{12}{24}  \\

So, the fraction of the great numerator will be the great fraction

\frac{12}{24}  > \frac{9}{24}

∴ \frac{3}{6} > \frac{3}{8}

==================================================

<u>Another solution:</u>

Convert both fractions to decimal:

3/8 = 0.375

3/6 = 0.5

0.5 > 0.375

===================================================

<u>Third Solution: </u>

As the numerators are equal

The fraction of least denominator is the great fraction

So, 3/6 > 3/8

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