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Solve 4x < 2x - 10 and -3x > -12. Which is the best description of the solution set? A. x < -5 and x < 4 B. x < -5 or x > 4 C. x < -5 D. x < 4

Mathematics
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I would plug in numbers to eliminate answer options. Lets start with -6. 4 * -6 < (2 * -6) -10 so -24<-22 which is true. The other side now. -3 * -6 > -12 so 18 > -12. This means that -6 satisfies both equations. Now we need to check 3. Under the first equation 3 for x gets 12<4 which is false. Now lets check 5. In the first equation 5 for x gets 20<0 which is also false. This means that C is the correct answer.
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