6/3x−4>x+1

ebendasqc

ebendasqc

Answered question

2022-10-15

6 3 x - 4 > x + 1

Answer & Explanation

cdtortosadn

cdtortosadn

Beginner2022-10-16Added 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

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?