66.1k views
2 votes
Which inequality has no solution?

6(x+2)> x-3
3+4x<2(1+2x)
0 -2(x+6) ox-9<3(x-3)

User Niko Craft
by
7.5k points

1 Answer

3 votes

Answer:


\boxed{\bold{3+4x<2(1+2x)}}

Explanation:

Expand
\bold{2\left(1+2x\right): \ 2+4x}


\bold{3+4x<2+4x}

Subtract 3 from both sides


\bold{3+4x-3<2+4x-3}

Simplify


4x<4x-1

Subtract 4x from both sides


\bold{4x-4x<4x-1-4x}

Simplify

0 < -1

No solution

User Guy
by
7.7k points