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Question
Given that x ∈ R, solve the following inequation and graph the solution on the number line: – 1 ≤ 3 + 4x < 23.
Solution
We have
– 1 ≤ 3 + 4x < 23
⇒ – 1 – 3 ≤ 4x < 23 – 3
⇒ – 4 ≤ 4x < 20
⇒ – 1 ≤ x < 5, x ∈ R
Solution Set = { – 1 ≤ x < 5; x ∈ R}
The graph of the solution set is shown below:
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