The solution set for the inequality - 3 (x - 4) > 6 (x - 1), includes 3 as an element. True False

Question

Slade Rogers

Mathematics

14 February, 23:22

The solution set for the inequality - 3 (x - 4) > 6 (x - 1), includes 3 as an element. True False

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Answers (1)

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Sarai Jenkins · Answer 1

Let's plug in x = 3 to find out. So we just replace every copy of x with 3 and simplify both sides

-3 (x-4) > 6 (x-1)

-3 (3-4) > 6 (3-1)

-3 (-1) > 6 (2)

3 > 12

The last inequality 3 > 12 is false. So the first inequality is false when x = 3. So 3 is NOT in the solution set.