Question

-(4x+6)<2(5x+9)+2x write the solution for interval notation

Answer 1

Answer:

$(-1.5,\infty)$

Step-by-step explanation:

-(4x+6)<2(5x+9)+2x

Distribute:

-4x-6<10x+18+2x

Combine like terms on either side:

-4x-6<12x+18

We want to now gather variable terms on one side of the inequality and constants (terms without variables) on the opposing side.

Add 4x on both sides:

-6<16x+18

Subtract 18 on both sides:

-24<16x

Divide both sides by 16:

-24/16<x

This implies:

x>-24/16

Reduce:

x>-3/2

x>-1.5

So in an interval notation this is $(-1.5,\infty)$.