Which graph represents the solution set for -4(1-×)<-12+2×?

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21-11-2017
Mathematics

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Which graph represents the solution set for -4(1-×)<-12+2×?

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Edufirst Edufirst · Answer 1 · 2017-11-21T03:14:00+01:00

i will answer assuming that the equation is 4(1-x) < -12+2x

1) 4 - 4x < - 12 + 2x

2) 2x + 4x > 4 + 12

3) 6x > 16

4) x > 16 / 6

5) x > 8 / 3

So the graph is all the real numbers greater than 8/3 which may be represented by a straight line from 8/3 to the right toward infinity

//////////////////////→
---------|--------------|--------------|----------o-----|-------------->
0 1 2 8/3 3