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Dana Herzog

Feb 20, 2025

How do I solve this: (2x-3)/(x+1) >= 3 ?!?

Hey guys can you help me solve the above please? I’m really lost.

10 Answers

I’m sorry to say that all people above are wrong. True answer: -6 <= x < -1, don’t believe? Try it by your calculator!Big Mistake: You can’t multiply (x+1) to both side because you don’t know (x+1) is positive or negative which may infected “>” or “<“.Working:(2x-3)/(x+1) >= 3(2x-3)/(x+1) – 3 >= 0 =====> Bring 3 to LHS(2x-3)/(x+1) – (3x+3)/(x+1) >= 0(-x-6)/(x+1) >= 0(x+6)/(x+1) <= 0 =========> Multiply both side by -1, change the signIt shows that (x+6)/(x+1) must be negative value. (x+6) is positive when x > -6(x+6) is negative when x < -6(x+1) is positive when x > -1(x+1) is negative when x < -1Two ways for (x+6)/(x+1) to be -ve:(1)(x+6) is negative, x < -6and (x+1) is positive, x > -1That is impossible for both case to happen, so rejected.(2) (x+6) is positive, x > -6and (x+1) is negative, x < -1 =======> So, answer is -6 < x < -1But becareful of the question, question says (2x-3)/(x+1) >= 3, there is eaual sign, so the answer should have equal sign.Again, careful, (x+1) is denominator, so x cannot = 3Final answer: -6 <= x < -1... Show More
Multiply both sides by denominator and you will get(2x-3)=3*(x+1)Distribute2x-3=3x+3Separate the variables and constants-3-3=3x-2x-6=x... Show More
Two side multiply (x+1)2x-3>=3(x+1)2x-3>=3x+32x-3x>=3+3-x>=6x<= -6... Show More
https://shorturl.im/7iFea-3x+6-1/2x+2>1/4x+3-16 21>3 1/3x== I GIVE UP!!!!!!... Show More
Distribute: 3x – 3 – 8x -12 > 0 Combine like terms -5x – 15 > 0 Add 15 to both sides -5x > 15 Divide both sides by -5 {don’t forget that you have to flip the inequality sign around whenever you multiply or divide both sides of an inequality by a negative number} x < -3... Show More
(2x-3)/(x+1) >= 3 2x -3 >= 3( x+1) 2x – 3 >= 3x +3 2x – 3x >= 3 + 3 -x >= 6 x <= 6 except x = -1... Show More
This Site Might Help You.RE:How do I solve this: (2x-3)/(x+1) >= 3 ?!?Hey guys can you help me solve the above please? I’m really lost.... Show More

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