Is there a restriction that the set must be positive? or whole numbers? Because negative numbers can be even, which makes your set an infinite list of numbers.
Natural numbers: P = {2, 4, 6, 8, 10}
Whole numbers: P = {0, 2, 4, 6, 8, 10}
All real numbers: P = {2n ;n ≤ 5}
The other solution to the absolute value equation 3 − 2|0.5x + 1.5| = 2 is x = -4
<h3>How to determine the solution?</h3>
The equation is given as:
3 − 2|0.5x + 1.5| = 2
Subtract 3 from both sides
-2|0.5x + 1.5| = -1
Divide both sides by -2
|0.5x + 1.5| = 0.5
Expand the equation
0.5x + 1.5 = 0.5 or 0.5x + 1.5 = -0.5
Subtract 1.5 from both sides
0.5x = -1 or 0.5x = -2
Divide both sides by 0.5
x = -2 or x = -4
Hence, the other solution to the absolute value equation 3 − 2|0.5x + 1.5| = 2 is x = -4
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Answer:
We conclude that the price is 3.5 times the number of board games.
Hence, option B is true.
Step-by-step explanation:
We know that when y varies directly with x, the equation is
y ∝ x
y = kx
k = y/x
where 'k' is called the proportionality constant.
From the table,
For the point (2, 7)
k = y/x
= 7/2
= 3.5
For the point (4, 14)
k = y/x
= 14 / 4
= 7/2
= 3.5
For the point (5, 17.50)
k = y/x
= 17.5 / 5
= 3.5
For the point (9, 31.50)
k = y/x
= 31.50 / 9
= 3.5
From the above calculations, we computed that the value of the proportionality constant remains the same.
Thus, the table of numbers represents a proportional relationship.
Therefore, the equation becomes
y = kx
The price of 2 board game
y = 3.5 (2)
= 7
The price of 4 board game
y = 3.5 (4)
= 14
Therefore, we conclude that the price is 3.5 times the number of board games.
Hence, option B is true.
