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Solve and Graph the Solution Set on a Number Line: "2x"/5 + 1 < -3; "X" ∈ "R" - Mathematics

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Sum

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:

Concept: Operation on of Whole Number on Number Line
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APPEARS IN

Selina Concise Mathematics Class 8 ICSE
Chapter 15 Linear Inequations
Exercise 15 (B) | Q 8 | Page 175
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