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Question
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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