write in tabular method {x/3x -19<0 and x €whole no }
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Answer :-
{ 0 , 1 , 2 , 3 , 4 , 5 , 6 }
Step-by-step explanation:
Given set : -
{ x | 3x - 19 < 0 , x ∈ W }
We are asked to write the given set in the tabular or roaster form.
Let's solve the given inequality !!
3x - 19 < 0
Add 19 to both sides of inequality
3x -19 + 19 < 0 + 19
3x < 19
Divide 3 from both sides of inequality
3x ÷ 3 < 19 ÷ 3
x < 6.33
This implies that we have to find the whole numbers which are smaller than 6.33.
∵ Whole numbers starts from 0, x can hold values - 0,1,2,3,4,5 and 6.
So the given set can be written in the tabular form as :
{ 0 , 1 , 2 , 3 , 4 , 5 , 6 }
More :-
Solving an inequality :
- We can add and subtract by positive as well as negative numbers on both sides of inequality.
- We can multiply and divide both sides of inequality with positive numbers only.
- If we divide or multiply both sides of inequality with negative numbers, sign of inequality reverses. Such as < converts to >, ≤ to ≥ .
- It is not a good habit to cross multiply inequalities problems.
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