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Solve the Following Inequalities and Represent the Solution on a Number Line: 3x + 4 ≤ X + 8 - Mathematics

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Question

Solve the following inequalities and represent the solution on a number line:
3x + 4 ≤ x + 8

Sum

Solution

We have, 3x + 4 ≤ x + 8
⇒ 3x - x ≤ 8 - 4  ...[Bring like terms on one side]
⇒ 2x ≤ 4
⇒ x ≤ 2
The graph of the solution set is x ≤ 2.

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Representation of Solution on the Number Line
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Chapter 5: Linear Inequations (Solving Linear Inequations in One Variable) - Exercise

APPEARS IN

ICSE Mathematics [English] Class 10
Chapter 5 Linear Inequations (Solving Linear Inequations in One Variable)
Exercise | Q 14.2
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