Question
Solve the inequality and show the graph for the solution on number line: 3 (1 – x) < 2 (x + 4)
✓
Answer
Here 3(1 - x) <2 (x + 4)
$ \Rightarrow 3 - 3x < 2x + 8$
$ \Rightarrow - 3x - 2x < 8 - 3$
$ \Rightarrow - 5x < 5$
Dividing both sides by -5, we have
x > -1
The solution set is $\left( { - 1,\infty } \right)$
The representation of the solution set on the number line is
$ \Rightarrow 3 - 3x < 2x + 8$
$ \Rightarrow - 3x - 2x < 8 - 3$
$ \Rightarrow - 5x < 5$
Dividing both sides by -5, we have
x > -1
The solution set is $\left( { - 1,\infty } \right)$
The representation of the solution set on the number line is
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