Mathematics
If x ∈ {-7, -4, -1, 2, 5} and 25 - 3(2x -5) < 19; the solution set is:
{-7, -4, -1, 2}
{2, 5}
{0, 1, 2, 3}
{5}
Linear Inequations
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Answer
25 - 3(2x - 5) < 19
⇒ 25 - 6x + 15 < 19
⇒ 40 - 6x < 19
⇒ - 6x < 19 - 40
⇒ - 6x < - 21
⇒ 6x > 21
⇒ x >
⇒ x > 3.5
∵ As x ∈ {-7, -4, -1, 2, 5}.
∵ Solution set = {5}
Hence, option 4 is the correct option.
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