Question

4 - 6x < 2(2x + 3)
Cómo resolver esta ecuación ?

Answer 1

`x>-(1)/(5)`

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:

`4-6x<2(2x+3)\\4-6x<2(2x)+2(3)\\4-6x<4x+6\\4-6<4x+6x\\-2<10x\\(-2)/(10)<x\\-(1)/(5)<x`

So x is greater than -1/5. we can write:

`x>-(1)/(5)`