Question

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

Answer 1

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.

Answer 2

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Answer 3

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Answer 4

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Answer 5

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Answer 6

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Answer 8

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Answer 9

Thank you!!