Question
Solve the inequality and represent the solution graphically on number line: 2 (x – 1) < x + 5, 3 (x + 2) > 2 – x
✓
Answer
We have 2(x - 1) < x + 5, and 3(x + 2) > 2 - x
$ \Rightarrow 2x - 2 < x + 5$ and 3x + 6 > 2 - x
$ \Rightarrow x < 7$ and 4x > -4
$ \Rightarrow x < 7$ and x > -1
$ \Rightarrow 2x - 2 < x + 5$ and 3x + 6 > 2 - x
$ \Rightarrow x < 7$ and 4x > -4
$ \Rightarrow x < 7$ and x > -1
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