Find the solution set for the inequation.....
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Answer:
-9/2 < x ≤ 9/4
Step-by-step explanation:
Given: (-1/4) ≤ (1/2) - (x/3) < 2
(i)
(-1/4 ≤ 1/2 - x/3)
⇒ (1/2) - (x/3) ≥ -1/4
⇒ -x/3 ≥ -3/4
⇒ -x ≥ -9/4
⇒ x ≤ 9/4
(ii)
(1/2 - x/3 < 2)
⇒ -x/3 < 3/2
⇒ -x < 9/2
⇒ x > -9/2
Therefore, the solution set is:
⇒ -9/2 < x ≤ 9/4
realshiningstar:
Even I got this... but solution set is {-4,-3,-2,-1,0,1,2}
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