Solve the inequality 4x − 6 > 6x − 20. a.)x > 7 b.) x < 7 c.)x < 2 d.)x > 2
Mathematics · High School · Mon Jan 18 2021
llm
Answered on
We have,
4x − 6 > 6x − 20.
Adding 6 on both sides, we get
4x -6 + 6 > 6x - 20 + 6
4x > 6x - 14
Subtracting 6x from both sides, we ger
4x - 6x > 6x - 6x - 14
-2x > -14
Dividing by -2 on both side, we get
-2x/-2 < -14/-2
[ inequality sign is reversed when dividing by a negative value]
x < 7
Hence, option (B) is correct.