Question

Write the inequality using x as a variable for each a representation .
i) <---------------------------- >
| | | | | |
1. 2. 3. 4. 5. 6​

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}