Solve the following inequation and write down the solution set: 3x >= x-4/2 + x/3 >3,
x belongs to R. Represent the solution set on a real number line.
Answers
Answer:
Graphical representation of the solution set of an inequation:
A number line is used to represent the solution set of an inequation graphically.
● First solve the linear inequation and find the solution set.
● Mark it on the number line by putting a dot.
● In case the solution set is infinite, then put three more dots to indicate infiniteness.
this rule will help u in every sums...
Step-by-step explanation:
Solve the inequation 3x - 5 < 4, x ∈ N.
Solution:
We have 3x - 5 < 4
⇒ 3x - 5 + 5 < 4 + 5 (Add 5 to both sides)
⇒ 3x < 9
⇒ 3x/3 < 9/3 (Divide both sides by 3)
⇒ x < 3
So, the replacement set = {1, 2, 3, 4, 5, ...}
Therefore, the solution set = {1, 2} or S = {x : x ∈ N, x < 3}
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Answer:
We have 3x - 5 < 4
⇒ 3x - 5 + 5 < 4 + 5 (Add 5 to both sides)
⇒ 3x < 9
⇒ 3x/3 < 9/3 (Divide both sides by 3)
⇒ x < 3
So, the replacement set = {1, 2, 3, 4, 5, ...}
Therefore, the solution set = {1, 2} or S = {x : x ∈ N, x < 3}
Let us mark the solution set graphically.
