Question

Solve the inequality 2(4x+1) < 3(2x-3)

Answer 1

`x < - (11)/(2)`

Explanation:

Distribute 2 through the parentheses:

`8x + 2 < 3(2x - 3)`

Distribute 3 through the parentheses:

`8x + 2 < 6x - 9`

Move the variable to the left-hand side and change its sign:

`8x + 2 - 6x < - 9`

Move the constant to the right-hand side and change its sign:

`8x - 6x < - 9 - 2`

Collect like terms:

`2x < - 9 - 2`

Calculate the difference:

`2x < - 11`

Divide both sides of the inequality by 2:

`x < - (11)/(2)`