Solve the inequation 3x - 11 < 3, where x € (1, 2, 3, ..., 10). Also represent its solution
on a number line.
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Given :
inequation , 3x - 11 < 3, where x belongs to (1, 2, 3, ..., 10)
To Solve :
Solve the inequality & represent it on Number line
Solution :
Given inequality is :
3x - 11 < 3
Adding 11 on both sides
3x - 11 + 11 < 3 + 11
3x < 14
Dividing by 3 on both sides
3x/3 < 14/3
x < 14/3
x < 4.66666
Since , x belongs to (1, 2, 3, ..., 10)
values of x that will satisfy inequality should be less that 4.666
Hence Values of x are 1 , 2 ,3 ,4
Solution is also represented on number line
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Answer:
Values of x are 1 , 2 ,3 ,4
Step-by-step explanation:
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