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Solve and graph the solution set on a number line:

(2x/5) + 1 < -3; x ∈ R

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⇒ (2x/5) + 1 < -3

⇒ (2x/5) + 1 – 1 < -3 – 1

(Subtracting 1 from both sides)

⇒ (2x/5) < -4

⇒ (2x/5) × 5 < -4 × 5

(Multiplying both sides by 5)

⇒ 2x < -20

⇒ (2x/2) < (-20/2) (Dividing both sides by 5)

⇒ (2x/2) < (-20/2) (Dividing both sides by 2)

⇒ x < -10

∴ The required graph is :

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