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