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uysha [10]
2 years ago
11

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

Mathematics
1 answer:
LuckyWell [14K]2 years ago
7 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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The graph of a function f is given. Use the graph to estimate the following. (Enter your answers using interval notation.)
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Using the graph and function concepts, it is found that:

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b) The function is increasing in [0,1] and [2,3], and decreasing [-5,0], [1,2], and [3,4].

--------------------

  • The domain of a function is given by it's input values, that is, the values of x, the horizontal axis on the <em>graph</em>.
  • The range of a function is given by it's output values, that is, the values of y, the vertical axis on the <em>graph</em>.
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  • If the <em>graph </em>is pointing downwards, the function decreases.

--------------------

Item a:

  • On the graph, the x-values are from -5 to 4, thus the domain is: [-5,4]
  • The y-values are from -2 to -5, thus, the range is: [-2,-5]

--------------------

Item b:

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A similar problem is given at brainly.com/question/10891721

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