Answer:
(a) [tex]x < \frac{9}{11}[/tex]
(b) [tex]y> 2[/tex]
Step-by-step explanation:
(1):
[tex]x - 15 > 4(-6+3x)[/tex]
Open bracket
[tex]x - 15 > 4*-6+4*3x[/tex]
[tex]x - 15 > -24+12x[/tex]
Collect Like terms
[tex]x - 12x > 15 - 24[/tex]
[tex]-11x > 15- 24[/tex]
[tex]-11x > -9[/tex]
Divide both sides by -11
[tex]x < \frac{-9}{-11}[/tex]
[tex]x < \frac{9}{11}[/tex] --- See first attachment for graph
(2):
[tex]6y-7>y+3[/tex]
Collect Like Terms
[tex]6y-y>7+3[/tex]
[tex]5y > 10[/tex]
Divide both sides by 5
[tex]y > \frac{10}{5}[/tex]
[tex]y> 2[/tex] --- See second attachment for graph