Solve the following inequation and represent the solution set on a number line −8
1/2 < -1/2-4x<_7
1/2,x£I
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Answer:
Given in equation,
−3<−
2
1
−
3
2x
≤
6
5
,x∈R
−3<−(3+4x)/6≤5/6[TakingL.C.M]
−18<−3–4x≤5 [Multiplying by 6]
−18+3<−4x≤5+3
−15<−4x≤8
−15/4<−x≤8/4
−2≤x<15/4
Hence, the solution set is {x : x ∈ R, -2 ≤ x < 15/4}
Representing the solution on a number line:
Step-by-step explanation:
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