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Agata [3.3K]
3 years ago
13

Which of the following is the solution to the inequality below ? -6/5(4-x)<_-4(X+1/2)

Mathematics
1 answer:
yuradex [85]3 years ago
8 0

Answer:

The answer is the option D

x\leq 7/13

Step-by-step explanation:

we have

-\frac{6}{5}(4-x)\leq -4(x+\frac{1}{2})

Multiply by -5 both sides

6(4-x)\geq 20(x+0.5)\\24-6x\geq20x+10\\24-10\geq 20x+6x\\14\geq 26x

Rewrite

26x\leq 14\\x\leq 14/26\\ x\leq 7/13

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Answer:

As per the statement:

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Let  H represents  Hawick , A represents Abbotsford and K represents Kelso

See the diagram as shown below:

Distance of AH = 15 miles

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We have to find the distance HK:

Using Pythagoras theorem;

\text{Hypotenuse side}^2 = \text{Adjacent side}^2 + \text{opposite side}^2

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