Solve the inequality -
4x + 3 / 2x - 5 < 6
Answers
Answered by
12
★ INEQUALITIES ★
Given function -
4x + 3 / 2x - 5 < 6
4x + 3 / 2x - 5 - 6 < 0
4x + 3 - 6 ( 2x - 5 ) / 2x - 5 < 0
4x + 3 - 12x + 30 / 2x - 5 < 0
-8x + 33 / 2x - 5 < 0
Hence ,
x ∈ ( - ∞ , 5/2 ) ∪ ( 33/8 , + ∞ )
★✩★✩★✩★✩★✩★✩✩★✩★✩★✩★
Given function -
4x + 3 / 2x - 5 < 6
4x + 3 / 2x - 5 - 6 < 0
4x + 3 - 6 ( 2x - 5 ) / 2x - 5 < 0
4x + 3 - 12x + 30 / 2x - 5 < 0
-8x + 33 / 2x - 5 < 0
Hence ,
x ∈ ( - ∞ , 5/2 ) ∪ ( 33/8 , + ∞ )
★✩★✩★✩★✩★✩★✩✩★✩★✩★✩★
Similar questions