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Juli2301 [7.4K]
3 years ago
12

Solve x + 71 < 6

Mathematics
1 answer:
HACTEHA [7]3 years ago
7 0

Step-by-step explanation:

x+71<6

Move the constant to the right-hand side and change its sign

↓

x<6-71

Calculate the difference

↓

x<-65

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Step-by-step explanation:

Let us revise the translation of a graph

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  • If the function f(x) translated horizontally to the left by h units, then its image is g(x) = f(x + h)  
  • If the function f(x) translated vertically up by k units, then its image is g(x) = f(x) + k  
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∵ h(x)=log_{6}(x)

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∵ x in h(x) is changed to (x + 3) in m(x)

- From the 2nd rule above, that means the graph of h(x)

   is translated 3 units to the left

∴ The graph of h(x) is translated 3 units to the left

∴ Each point on the graph of h(x) is translated 3 units to the left

∴ Translate each point of the graph of h(x) 3 units left

<em>Look to the attached figure to more understand</em>

<em>The red line represents h(x)</em>

<em>The blue line represents m(x)</em>

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Step-by-step explanation:

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