Question

NEED THESE ANSWERED ASAPSolve the inequality and graph its solution:

1.) X-15> 4(-6+3x)
2) 6y-7>y+3

Answer 1

(a)
`x < (9)/(11)`

(b)
`y> 2`

Explanation:

(1):

`x - 15 > 4(-6+3x)`

Open bracket

`x - 15 > 4*-6+4*3x`

`x - 15 > -24+12x`

Collect Like terms

`x - 12x > 15 - 24`

`-11x > 15- 24`

`-11x > -9`

Divide both sides by -11

`x < (-9)/(-11)`

`x < (9)/(11)` --- See first attachment for graph

(2):

`6y-7>y+3`

Collect Like Terms

`6y-y>7+3`

`5y > 10`

Divide both sides by 5

`y > (10)/(5)`

`y> 2` --- See second attachment for graph