athenaroks1 athenaroks1

22-11-2017
Mathematics

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which number line represents the solution set for the inequality 3(8-4x)<6(x-5)?

which number line represents the solution set for the inequality 384xlt6x5 class=

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choixongdong choixongdong

22-11-2017

3(8-4x)<6(x-5)
24 - 12x < 6x - 30
18x > 54
x > 3
answer is B. x > 3

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calculista calculista

22-09-2018

we have

[tex]3(8-4x)<6(x-5)\\3*8-3*4x < 6x-6*5\\24-12x < 6x-30\\-12x-6x < -30-24\\-18x < -54\\18x > 54\\ x > (54/18)\\x > 3[/tex]

the solution is the interval -------> (3,∞)

therefore

the answer in the attached figure

Ver imagen calculista

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