Question

Solve the following inequation and write the solution set. [3]

3 ≤ 2x-1 ≤ 5 , x € I
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Answer 1

Answer:

Given: −3x≤2x−131<61

Taking L.C.M. of 3,2 and 6 is 6.

−3x×6≤2x×6−34×6<61×6

−2x≤3x−8<1

⇒−2x≤3x−8 and 3x−8<1

⇒8≤3x+2x     ⇒3x<1+8

⇒8≤5x        ⇒3x<9

⇒58≤x     ⇒x<3

∴ The solution set is {x:1.6≤x≤3,xϵR}



Answer 2

Answer:

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