Answer:
[tex]x>-\frac{1}{5}[/tex]
Step-by-step explanation:
This is an inequality ("<" -- less than sign). We can solve this as an equation solving process.
Remember the distributive property:
a(b+c) = ab + ac
This is important for right side of the equation.
Let's solve:
[tex]4-6x<2(2x+3)\\4-6x<2(2x)+2(3)\\4-6x<4x+6\\4-6<4x+6x\\-2<10x\\\frac{-2}{10}<x\\-\frac{1}{5}<x[/tex]
So x is greater than -1/5. we can write:
[tex]x>-\frac{1}{5}[/tex]