Answer to Question #343473 in Discrete Mathematics for Bethsheba Kiap

Question #343473

Solve the inequalities. Give your answer in interval notation, and indicate the answer


geometrically on the real-number line.


a. t + 6 ≤ 2 + 3t


b. 3(2 – 3x) > 4(1 – 4x)



1
Expert's answer
2022-05-24T23:15:03-0400

a.



t+62+3tt + 6\le 2 + 3t3tt623t-t\ge6-22t42t\ge4t2t\ge 2

t[2,)t\in [2, \infin)


b.



3(23x)>4(14x)3(2 – 3x) > 4(1 – 4x)69x>416x6-9x>4-16x69x+16x6>416x+16x66-9x+16x-6>4-16x+16x-67x>27x>-2x>27x>-\dfrac{2}{7}x(27,)x\in (-\dfrac{2}{7}, \infin)

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