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Question
Solve the following in equation and write the solution set:
13x - 5 < 15x + 4 < 7x + 12, x ∈ R
Represent the solution on a real number line.
Solution
13x - 5 < 15x + 4 < 7x + 12, `"x" in "R"`
we have
|
13x - 5 < 15x + 4 And |
15x + 4 > 7x + 12 ⇒ 15x < 7x + 8 ⇒ 8x < 8 ⇒ x < 1 ⇒ x < 1 |
Solution set = { x : x `in` R and -4.5 < x < 1}
The required line is
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