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

Question

Mathematics

Janiya Bryan

16 December, 21:48

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

+3

Answers (1)

Know the Answer?

Augustus Reilly · 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.