Your answer is Answer:
x = -3
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> 0
First, note that x is undefined at 5. / x ≠ 5
Second, replace the inequality sign with an equal sign so that we can solve it like a normal equation. / Your problem should look like:
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= 0
Third, multiply both sides by x - 5. / Your problem should look like: 3x - 5 = 0
Forth, add 5 to both sides. / Your problem should look like: 3x = 5
Fifth, divide both sides by 3. / Your problem should look like: x =
Sixth, from the values of x above, we have these 3 intervals to test:
x <
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< x < 5
x > 5
Seventh, pick a test point for each interval.
1. For the interval x <
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:
Let's pick x - 0. Then,
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> 0
After simplifying, we get 1 > 0 which is true.
Keep this interval.
2. For the interval
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< x < 5:
Let's pick x = 2. Then,
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> 0
After simplifying, we get -0.3333 > 0, which is false.
Drop this interval.
3. For the interval x > 5:
Let's pick x = 6. Then,
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> 0
After simplifying, we get 13 > 0, which is ture.
Keep this interval.
Eighth, therefore, x <
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and x > 5
Answer: x <
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and x > 5
Answer:
<em>Hot dog sold = 33</em>
<em>Sodas Sold = 72</em>
Step-by-step explanation:
<u><em>Given:</em></u>
<em>At a hockey game a vender sold a combined total of 105 sodas and hot dogs. The number of sodas sold was 39 more than the number of hot dogs sold</em>
<u><em>To Find:</em></u>
<em>Number of soda/hot dog sold</em>
<u><em>Solve:</em></u>
<em>h + ( 39 + h ) = 105</em>
<em>h + 39 + h = 105</em>
<em>2h + 39 = 105</em>
<em>h + 19.5 = 52.5</em>
<em>h = 52.5 - 19.5 </em>
<em>This as a system does not use any inequality. "39 more than" means, +39.</em>
<em>h = 33 meaning d= 72</em>
<em />
<em>Add to check Answer:</em>
<em>33 + 72 = 105</em>
<em>Thus,</em>
<em>Hot dog sold = 33</em>
<em>Sodas Sold = 72</em>
<em />
<u><em>Kavinsky </em></u>