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seraphim [82]
2 years ago
6

What is the answer to this inequality -X+5<-1/3+17=?

Mathematics
1 answer:
ExtremeBDS [4]2 years ago
6 0

Add the numbers: 3+17 = 20

-x + 5 < -1/20

Apply the fraction rule: -a/b = - a/b

-x + 5 < - 1/20

Subtract 5 from both sides

-x + 5 - 5 < 1/20 - 5

Simplify

-x< - 101/20

Multiply both sides by -1 (reverse the inequality)

(-x) (-1) > (-101/20) (-1)

x> 101/20 is the final answer

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Explanation:we will solve this question with help of linear programming.

Now,  let Ben goes x times in buffalo trip and goes y times in Philadelphia trip. Thus, according to the question, Min Z= 180x+300y

And s.t.r. 2x+3y≤105, where x≥5, y≥15.

since at (0,0) 0≤105(true), so area of 2x+3y≤105 will cover the origin.

But, 0≥5 and 0≥15 are false, so their area will not cover the origin.

Thus, after drawing the graph of these three lines we will get a feasible reason of triangle ABC, where point A≡(5,31.667), B≡(5,15), and C≡(30,15)

Z at A- 180×5+300×31.667=10,400.1

at B-180×5+300×15=1350( which is minimum.)

at C- 180×30+300×15=5,850

Thus, Ben should go 5 times to buffalo trip and 15 times to Philadelphia to minimize his cost which is $1350.




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