Question

Solve the inequality.. help me out asap plss ​

Answer 1

`x<(6)/(5)`

Refer to picture for number line

Explanation:

To solve this inequality, we want to isolate the variable. We can do this my getting like terms onto one side

`6x-7<2-(3x)/(2)` [add both sides by 7]

`6x<9-(3x)/(2)` [add both sides by 3x/2]

`6x+(3x)/(2)<9` [multiply both sides by 2]

`12x+3x<18` [add]

`15x<18` [divide both sides by 15]

`x<(18)/(15)` [simplify]

`x<(6)/(5)`

Now that we have out inequality, we want to graph it. Since we know that
`x<(6)/(5)`, that means we have an open circle. Since x is less than, the arrow would be pointing left.