Respuesta :

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

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