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Question
Solve the inequation −3≤3−2x<9,x∈R. Represent your solution on a number line.
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Solution
Given inequation, −3≤3−2x<9
⇒−3−3≤−2x<9−3
⇒−6≤−2x<6
⇒−3≤−x<3
⇒−3<x≤3
As x∈R
The solution set is {x:x∈R,−3<x≤3}
Representing the solution on a number line:
Given inequation, −3≤3−2x<9
⇒−3−3≤−2x<9−3
⇒−6≤−2x<6
⇒−3≤−x<3
⇒−3<x≤3
As x∈R
The solution set is {x:x∈R,−3<x≤3}
Representing the solution on a number line:
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