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Question
Solve and graph the solution set on a number line: `"2x"/5 + 1 < -3; "x" ∈ "R"`
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Solution
`"2x"/5 + 1 < -3`
⇒ `"2x"/5 + 1 - 1 < - 3 - 1` (Subtracting 1 from both sides)
⇒ `"2x"/5 < -4`
⇒ `"2x"/5 xx 5 < - 4 xx 5` ...(Multiplying both sides by 5)
⇒ 2x < - 20
⇒ `"2x"/2 < (-20)/2` ...(Dividing both sides by 2)
⇒ x < -10
∴ The required graph is:
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