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Harrizon [31]
3 years ago
9

Choose the correct description of the graph of the compound inequality:

Mathematics
1 answer:
Ainat [17]3 years ago
8 0
First, let's solve the inequality:
<span>x - 3 < -9
//add 3 to both sides: 
x<-6



the second inequality: 
x + 5 ≥ 10</span> 
//substract 5 from both sides: 
<span>x ≥ 5

So we need to map:
</span>
<span>x<-6
</span><span>x ≥ 5

Now, shading will be to the leftof -6 and to the right of 5 - this is compatible with answers A and B. 

A closed circle means that the number is included, so the correct answer is A!</span>
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What is the multiplicative inverse of -5 1/2​
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An automotive repair center charges $45 for any part of the first hour of labor, and $25 for any part of each additional hour. W
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The total cost is given by the equation:
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We can check for each option in turn:

Option A:

Inequality 5 < x ≤ 6 means the hour is between 5 hours (not inclusive) to 6 hours (inclusive)
Let's take the number of hours = 5
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Let's take the number of hours = 6
Then substitute into C(6) = 45 + (6-1)×25 = 170
We can't take 145 because the value '5' was not inclusive.


Option B:
The inequality is 6 < x ≤ 7
We take number of hours = 6
C(6) = 25(6-1) + 45 = 170
We take number of hours = 7
Then C(7) = 25(7-1) + 45 = 195

Option C:
The inequality is 5 < x ≤ 6
Take the number of hours = 5
C(5) = 25(5-1) + 45 = 145
Take the number of hours = 6
C(6) = 25(6-1) + 45 = 170
We can't take the value 145 as '5' was not inclusive in the range, but we can take 170

Option D:
6 < x ≤ 7
25(6-1) + 45 < C(t) ≤ 25(7-1) + 45
170 < C(t) ≤ 195

Correct answer: C


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3 years ago
Find the product 7 x 300 = hundreds
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