Find the values of x , which satisfy the inequation and represent on number
line.
23÷2 <2x÷4+3÷4<5÷3
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of which class is the question I didn't understood
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17/6 < ½ - 2x/3 ≤ 2
Taking, - 17/6 < ½ - 2x/3
-17/6 – ½ <- 2x/3
-17 – 3/6 < - 2x/3
-20/6 < - 2x/3
⇒ 10/3 > 2x/3
5 > x ....(1)
Now taking, ½ - 2x/3 ≤ 2
-2x/3 ≤ 2 – ½
2x/3 ≤ 3/2
- x ≤ 9/4 ⇒ x ≥ -9/4 ….(2)
From (1) and (2), we get
-9/4 ≤ x < 5 ⇒ - 9/4 ≤ x < 5
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