Inequality interval notation

Question

5(x+3)-6x<3(2x+1)-4x

Answer 1

1. get rid of all the parenthesis by multiplying the outside number with each of the number in the parenthesis

5x+13-6x < 6x+3-4x

 

2. Add all like terms (add all the x together)

5x-6x+15 < 6x-4x+3

-x+15 < 2x +3

 

3. subtract 15 on both sides

-x+15 -15 < 2x +3 -15

-x+0 < 2x -12

-x < 2x -12

 

4. subtract 2x on both sides

-x -2x < 2x -12 -2x

-3x < -12

 

5. Divide by -3 on both sides (because we are dividing by a negative number, you have to switch the sign from less than to greater than)

-3x/-9 < -12/-3

x > 4