Of the following sets, which numbers in {1, 2, 3, 4, 5} make the inequality 5x + 2 > 12 true?

{1, 2}

{1, 2, 3}

{3, 4, 5}

{2, 3, 4, 5}

{ 3, 4, 5 }

Step-by-step explanation:

Given inequality,

5x + 2 > 12

By subtracting 2 on both sides,

5x > 12 - 2

5x > 10

Since,

Thus, after multiplying both sides of inequality by 1/5, the sign of inequality will not change,

That is,

⇒ x ∈ ( 2, ∞ )

Hence, numbers in set { 1, 2, 3, 4, 5} that make the given inequality true are,

{ 3, 4, 5 }

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