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maksim [4K]
3 years ago
6

Solve and graph the absolute value inequality:-8>-5x+2>-38?

Mathematics
1 answer:
Pani-rosa [81]3 years ago
7 0
Hello : 
<span>:-8>-5x+2>-38  equiv : 
-38 </span>< -5x+2 <span>< -8
let : f(x) = -5x+2..... ( graph color red)
       g(x) = -38 </span>..... ( graph color pruple)<span>
       h(x) = -8  ......</span> ( graph color blue)
 the absolute value inequality is : ] 2, 8<span>[ ( between the graph of g and h)</span>

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I will do this problem in 2 ways. I.)Substitution II.)Elimination

Solution I.) Substitution

We can subtract 2x from both sides in the first equation.

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We can multiply both side of first equation by 5 to get a 5y in both equations.

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Now because both are positive 5y we just need to do simple subtraction of the 2 equation, each side respectively.

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Ultimately you get the same answer, both are viable methods, some problems are faster with one method but I recommend mastering both since they are very useful.

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