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Mathematics

Solve the inequation given below and represent its solution set on a number line:

4 - 3x ≥ 3x - 14, x ∈ N

Linear Inequations

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Answer

Given,

⇒ 4 - 3x ≥ 3x - 14

⇒ -3x - 3x ≥ -14 - 4

⇒ -6x ≥ -18

Dividing by -6 on both sides we get,

⇒ x ≤ 3 (As on dividing by negative no. the sign reverses.)

Since, x ∈ N

Hence, solution set = {1, 2, 3}.

Solution on the number line is :

4 - 3x ≥ 3x - 14, x ∈ N. Linear Inequations, RSA Mathematics Solutions ICSE Class 10.

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