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lukranit [14]
3 years ago
9

Which of the points are solutions to the inequality?

Mathematics
1 answer:
Andrew [12]3 years ago
4 0

Answer:

<h2>(0,1) and (2,5).</h2>

Step-by-step explanation:

The graph of the inequality is attached.

Remember, a solution of an inequality is a point on the shaded region. Also, it must satisfy the inequality expression

y

From the graph we know the possible answers are (0, 1) and (2, 5), let's prove it.

<h3>For (0, 1):</h3>

1

Which is true, so (0, 1) is solution.

<h3>For (2, 5):</h3>

5

Which is true, so (2, 5) is solution.

Therefore, the solutions are (0,1) and (2,5).

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Rata-rata markah matematik untuk Amin, azman dan aziz adalah 73. Tanda Azman lebih 35 berbanding Amin manakala aziz dua kali gan
vagabundo [1.1K]

Answer:

The Amin's score in math was 46.

Step-by-step explanation:

The question is:

The average math score for Amin, azman and aziz is 73. Azman marks 35 more than Amin while aziz is twice that of Amun. What is Amin's sign?

Solution:

Let us denote that:

<em>x</em> = Amin's score in math

<em>y</em> = Azman's score in math

<em>z</em> = Aziz's score in math.

The average of <em>x</em>, <em>y</em> and <em>z</em> is, 73.

That is:

\frac{x+y+z}{3}=73\\\\\Rightarrow x+y+z = 219

Now it is provided that:

y=x+35...(i)\\z=2x...(ii)

Use the equations (i) and (ii) to determine the value of <em>x</em> as follows:

x+y+z=219\\\\x+x+35+2x=219\\\\4x=184\\\\x=46

Thus, the Amin's score in math was 46.

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Answer:

1). t ≥ -\frac{3}{2}

2). k ≥ \frac{16}{3}

3). y < -\frac{1}{2}

4). b > \frac{250}{9}

5). w ≤ 0

Step-by-step explanation:

1). 14(\frac{1}{2}-t)\leq 28

   \frac{14}{14}(\frac{1}{2}-t)\leq \frac{28}{14}

   \frac{1}{2}-t\leq 2

   -t\leq 2-\frac{1}{2}

   -t\leq \frac{3}{2}

   t ≥ -\frac{3}{2}

2). 15k + 11 ≤ 18k - 5

   15k - 18k ≤ -5 - 11

   -3k ≤ - 16

   3k ≥ 16

     k ≥ \frac{16}{3}

3). 44y > 11 + 88y - 22y

    44y > 11 + 66y

    44y - 66y > 11

    -22y > 11

    22y < -11

    \frac{22y}{22}

    y < -\frac{1}{2}

4). \frac{7}{9}(b - 27) > \frac{49}{81}

    \frac{7}{9}(b - 27)\times \frac{9}{7} > \frac{49}{81}\times \frac{9}{7}

     (b - 27) > \frac{7}{9}

     b > \frac{7}{9}+27

    b > \frac{250}{9}

5). 11w - 8w ≥ 14w

    3w - 14w ≥ 0

    -11w ≥ 0

    w ≤ 0

7 0
3 years ago
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