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Solve and graph the solution set on a number line: -3x + 12 < -15 ; x ∈ R.

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#### Solution

-3x + 12 < -15

⇒ -3x + 12 - 12 < - 15 -12 (Subtracting 12 from both sides)

⇒ -3x < -27

⇒ `(-"3x")/-3 > (-27)/(-3)` (Dividing both sides by -3)

**Note: **Division by a negative number reverses the inequality.

⇒ x > 9

∴ The required graph is:

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