Mathematics

Solve the inequation given below and represent its solution set on a number line:
9 ≤ 1 - 2x, x ∈ {-3, -4, -5, -6}

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Given,

⇒ 9 ≤ 1 – 2x

⇒ 1 - 2x ≥ 9

⇒ -2x ≥ 9 - 1

⇒ -2x ≥ 8

Dividing by -2 on both sides we get,

⇒ x ≤ -4 (As on dividing by negative no. the sign reverses.)

Since, x ∈ {-3, -4, -5, -6}.

Hence, solution set = {-4, -5, -6}.

Solution on the number line is :

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