Question

Solve the inequality 4x − 6 > 6x − 20.

x > 7
x < 7
x < 2
x > 2

Answer 1

4x − 6 > 6x − 20
add 6 on both sides
4x-6+6>6x-20+6
4x>6x-14
subtract6x from both sides
4x-6x>6x-6x-14
-2x>-14
\[Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)\]
\[\left(-1\right)\left(-2x\right)<\left(-1\right)\left(-14\right)\]
-2x<-14
divided 2 on both sides
-2x/-2<-14/-2
x<7

Answer 2

second option is the correct

Answer 3

@surjithayer ...
2x<14
x<2
this is wrong

Answer 4

2x<14
x<7

Answer 5

thank you i was so lost ... now i can take notes because i didnt know where to start thanks again
:)

Answer 6

no problem @_lexx.