6/3x−4>x+1

ebendasqc 2022-10-15 Answered
6 3 x - 4 > x + 1
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Answers (1)

cdtortosadn
Answered 2022-10-16 Author has 19 answers
Multiply both sides of the inequality by 3x−4:
6 > ( x + 1 ) ( 3 x - 4 )
Distribute the right-side: 6 > ( 3 x 2 - 4 x + 3 x - 4 )
Simplify by adding like terms and subtract the 6 from both sides:
6 - 6 > 3 x 2 - x - 4 - 6
0 > 3 x 2 - x - 10
Factor the right-side: 0>(3x+5)(x−2) or (3x+5)(x−2)<0
Solve for values of x that make the equation negative:
3x+5<0 and x−2<0
3x<−5 and x<2
x < - 5 3
Therefore: - 5 3 < x < 2
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